Search a number
-
+
11452572432 = 243273231871
BaseRepresentation
bin10101010101010000…
…00110001100010000
31002120011000221220100
422222220012030100
5141423324304212
65132232212400
7553543155000
oct125250061420
932504027810
1011452572432
1149477511a4
12227753a100
1311069151a2
147a903c000
15470689bdc
hex2aaa06310

11452572432 has 120 divisors (see below), whose sum is σ = 37377766400. Its totient is φ = 3272149440.

The previous prime is 11452572379. The next prime is 11452572433. The reversal of 11452572432 is 23427525411.

11452572432 is a `hidden beast` number, since 1 + 1 + 4 + 52 + 572 + 4 + 32 = 666.

It is a super-2 number, since 2×114525724322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11452572433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66544 + ... + 165327.

Almost surely, 211452572432 is an apocalyptic number.

11452572432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11452572432 is an abundant number, since it is smaller than the sum of its proper divisors (25925193968).

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

11452572432 is a wasteful number, since it uses less digits than its factorization.

11452572432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231906 (or 231883 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 11452572432 in words is "eleven billion, four hundred fifty-two million, five hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 231871 463742 695613 927484 1391226 1623097 1854968 2086839 2782452 3246194 3709936 4173678 4869291 5564904 6492388 8347356 9738582 11129808 11361679 12984776 14607873 16694712 19477164 22723358 25969552 29215746 33389424 34085037 38954328 45446716 58431492 68170074 77908656 79531753 90893432 102255111 116862984 136340148 159063506 181786864 204510222 233725968 238595259 272680296 318127012 409020444 477190518 545360592 636254024 715785777 818040888 954381036 1272508048 1431571554 1636081776 1908762072 2863143108 3817524144 5726286216 11452572432