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10930458852 = 22321933747419
BaseRepresentation
bin10100010111000000…
…11001000011100100
31001012202120211201100
422023200121003210
5134341144140402
65004341400100
7534603236655
oct121340310344
931182524640
1010930458852
1146a9a60575
122150709030
1310526b9941
1475996b52c
1543e90471c
hex28b8190e4

10930458852 has 72 divisors (see below), whose sum is σ = 29170887200. Its totient is φ = 3441408768.

The previous prime is 10930458829. The next prime is 10930458863. The reversal of 10930458852 is 25885403901.

10930458852 is a `hidden beast` number, since 10 + 9 + 3 + 0 + 4 + 588 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10930458798 and 10930458807.

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 23 ways as a sum of consecutive naturals, for example, 206799 + ... + 254217.

Almost surely, 210930458852 is an apocalyptic number.

10930458852 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 10930458852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585443600).

10930458852 is an abundant number, since it is smaller than the sum of its proper divisors (18240428348).

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

10930458852 is a wasteful number, since it uses less digits than its factorization.

10930458852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47785 (or 47780 counting only the distinct ones).

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

The spelling of 10930458852 in words is "ten billion, nine hundred thirty million, four hundred fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 337 342 674 684 1011 1348 2022 3033 4044 6066 6403 12132 12806 19209 25612 38418 47419 57627 76836 94838 115254 142257 189676 230508 284514 426771 569028 853542 900961 1707084 1801922 2702883 3603844 5405766 8108649 10811532 15980203 16217298 31960406 32434596 47940609 63920812 95881218 143821827 191762436 287643654 303623857 575287308 607247714 910871571 1214495428 1821743142 2732614713 3643486284 5465229426 10930458852