Search a number
-
+
13356888362352 = 2433238291621583
BaseRepresentation
bin1100001001011110010010…
…0101100000110101110000
31202021220110111220210101000
43002113210211200311300
53222314401410043402
644224023024442000
72546001100543623
oct302274445406560
952256414823330
1013356888362352
11428a6962a3697
1215b87a2a79300
1375b71a6a30a2
14342696673dba
1518269b301c1c
hexc25e4960d70

13356888362352 has 160 divisors (see below), whose sum is σ = 40054422067200. Its totient is φ = 4253578230528.

The previous prime is 13356888362347. The next prime is 13356888362353. The reversal of 13356888362352 is 25326388865331.

13356888362352 is a `hidden beast` number, since 1 + 3 + 3 + 568 + 8 + 8 + 3 + 62 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13356888362352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13356888362353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426153 + ... + 9047735.

It is an arithmetic number, because the mean of its divisors is an integer number (250340137920).

Almost surely, 213356888362352 is an apocalyptic number.

13356888362352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13356888362352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027211033600).

13356888362352 is an abundant number, since it is smaller than the sum of its proper divisors (26697533704848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13356888362352 is a wasteful number, since it uses less digits than its factorization.

13356888362352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622452 (or 1622440 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 13356888362352 in words is "thirteen trillion, three hundred fifty-six billion, eight hundred eighty-eight million, three hundred sixty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 829 1104 1242 1656 1658 2484 2487 3312 3316 4968 4974 6632 7461 9936 9948 13264 14922 19067 19896 22383 29844 38134 39792 44766 57201 59688 76268 89532 114402 119376 152536 171603 179064 228804 305072 343206 358128 457608 514809 686412 915216 1029618 1372824 1621583 2059236 2745648 3243166 4118472 4864749 6486332 8236944 9729498 12972664 14594247 19458996 25945328 29188494 37296409 38917992 43782741 58376988 74592818 77835984 87565482 111889227 116753976 149185636 175130964 223778454 233507952 298371272 335667681 350261928 447556908 596742544 671335362 700523856 895113816 1007003043 1342670724 1344292307 1790227632 2014006086 2685341448 2688584614 4028012172 4032876921 5370682896 5377169228 8056024344 8065753842 10754338456 12098630763 16112048688 16131507684 21508676912 24197261526 30918723061 32263015368 36295892289 48394523052 61837446122 64526030736 72591784578 92756169183 96789046104 123674892244 145183569156 185512338366 193578092208 247349784488 278268507549 290367138312 371024676732 494699568976 556537015098 580734276624 742049353464 834805522647 1113074030196 1484098706928 1669611045294 2226148060392 3339222090588 4452296120784 6678444181176 13356888362352