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10893840552 = 233377204921
BaseRepresentation
bin10100010010101001…
…01101000010101000
31001010012200102212000
422021110231002220
5134302310344202
65000552451000
7533650055040
oct121124550250
931105612760
1010893840552
11469031a711
1221403a9a60
131047c383ca
14754b58720
1543b5be91c
hex28952d0a8

10893840552 has 64 divisors (see below), whose sum is σ = 34583625600. Its totient is φ = 3112525440.

The previous prime is 10893840493. The next prime is 10893840557. The reversal of 10893840552 is 25504839801.

10893840552 is a `hidden beast` number, since 1 + 0 + 8 + 93 + 8 + 4 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10893840498 and 10893840507.

It is not an unprimeable number, because it can be changed into a prime (10893840557) by changing a digit.

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, 3600949 + ... + 3603972.

It is an arithmetic number, because the mean of its divisors is an integer number (540369150).

Almost surely, 210893840552 is an apocalyptic number.

10893840552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10893840552 is an abundant number, since it is smaller than the sum of its proper divisors (23689785048).

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

10893840552 is a wasteful number, since it uses less digits than its factorization.

10893840552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204943 (or 7204933 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10893840552 in words is "ten billion, eight hundred ninety-three million, eight hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7204921 14409842 21614763 28819684 43229526 50434447 57639368 64844289 86459052 100868894 129688578 151303341 172918104 194532867 201737788 259377156 302606682 389065734 403475576 453910023 518754312 605213364 778131468 907820046 1210426728 1361730069 1556262936 1815640092 2723460138 3631280184 5446920276 10893840552