Search a number
-
+
36053033472 = 293322711489
BaseRepresentation
bin100001100100111011…
…011010001000000000
310110001121010212022000
4201210323122020000
51042314034032342
624321301344000
72414266504521
oct414473321000
9113047125260
1036053033472
1114320aa7735
126ba2108000
13352743bc01
141a60300848
15e1023a44c
hex864eda200

36053033472 has 160 divisors (see below), whose sum is σ = 107198942400. Its totient is φ = 11963695104.

The previous prime is 36053033447. The next prime is 36053033491. The reversal of 36053033472 is 27433035063.

36053033472 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 303 + 347 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132304 + ... + 3143792.

It is an arithmetic number, because the mean of its divisors is an integer number (669993390).

Almost surely, 236053033472 is an apocalyptic number.

36053033472 is a gapful number since it is divisible by the number (32) 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 36053033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53599471200).

36053033472 is an abundant number, since it is smaller than the sum of its proper divisors (71145908928).

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

36053033472 is a wasteful number, since it uses less digits than its factorization.

36053033472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 36053033472 in words is "thirty-six billion, fifty-three million, thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 227 256 288 384 432 454 512 576 681 768 864 908 1152 1362 1536 1728 1816 2043 2304 2724 3456 3632 4086 4608 5448 6129 6912 7264 8172 10896 11489 12258 13824 14528 16344 21792 22978 24516 29056 32688 34467 43584 45956 49032 58112 65376 68934 87168 91912 98064 103401 116224 130752 137868 174336 183824 196128 206802 261504 275736 310203 348672 367648 392256 413604 523008 551472 620406 735296 784512 827208 1046016 1102944 1240812 1470592 1569024 1654416 2205888 2481624 2608003 2941184 3138048 3308832 4411776 4963248 5216006 5882368 6617664 7824009 8823552 9926496 10432012 13235328 15648018 17647104 19852992 20864024 23472027 26470656 31296036 39705984 41728048 46944054 52941312 62592072 70416081 79411968 83456096 93888108 125184144 140832162 158823936 166912192 187776216 250368288 281664324 333824384 375552432 500736576 563328648 667648768 751104864 1001473152 1126657296 1335297536 1502209728 2002946304 2253314592 3004419456 4005892608 4506629184 6008838912 9013258368 12017677824 18026516736 36053033472