Search a number
-
+
13491027936 = 2532238592371
BaseRepresentation
bin11001001000010000…
…01011111111100000
31021211012202020011100
430210020023333200
5210112200343221
610110411314400
7655214562651
oct144410137740
937735666140
1013491027936
1157a3373a71
12274614ba00
131370035089
1491da67528
1553e5e6926
hex32420bfe0

13491027936 has 144 divisors (see below), whose sum is σ = 40096667520. Its totient is φ = 4294667520.

The previous prime is 13491027917. The next prime is 13491027947. The reversal of 13491027936 is 63972019431.

13491027936 is a `hidden beast` number, since 1 + 349 + 1 + 0 + 279 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13491027891 and 13491027900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5688831 + ... + 5691201.

It is an arithmetic number, because the mean of its divisors is an integer number (278449080).

Almost surely, 213491027936 is an apocalyptic number.

13491027936 is a gapful number since it is divisible by the number (16) 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 13491027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048333760).

13491027936 is an abundant number, since it is smaller than the sum of its proper divisors (26605639584).

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

13491027936 is a wasteful number, since it uses less digits than its factorization.

13491027936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13491027936 in words is "thirteen billion, four hundred ninety-one million, twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 859 1104 1656 1718 2208 2371 2577 3312 3436 4742 5154 6624 6872 7113 7731 9484 10308 13744 14226 15462 18968 19757 20616 21339 27488 28452 30924 37936 39514 41232 42678 54533 56904 59271 61848 75872 79028 82464 85356 109066 113808 118542 123696 158056 163599 170712 177813 218132 227616 237084 247392 316112 327198 341424 355626 436264 474168 490797 632224 654396 682848 711252 872528 948336 981594 1308792 1422504 1745056 1896672 1963188 2036689 2617584 2845008 3926376 4073378 5235168 5690016 6110067 7852752 8146756 12220134 15705504 16293512 18330201 24440268 32587024 36660402 46843847 48880536 65174048 73320804 93687694 97761072 140531541 146641608 187375388 195522144 281063082 293283216 374750776 421594623 562126164 586566432 749501552 843189246 1124252328 1499003104 1686378492 2248504656 3372756984 4497009312 6745513968 13491027936