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10931434976 = 257114436459
BaseRepresentation
bin10100010111001000…
…00111010111100000
31001012211102102201002
422023210013113200
5134341421404401
65004414331132
7534614443550
oct121344072740
931184372632
1010931434976
1146aa567990
122150ab9aa8
13105296c027
14759b43160
1543ea48a6b
hex28b9075e0

10931434976 has 48 divisors (see below), whose sum is σ = 26831710080. Its totient is φ = 4258999680.

The previous prime is 10931434949. The next prime is 10931434991. The reversal of 10931434976 is 67943413901.

It is a super-2 number, since 2×109314349762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10931434976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215766 + ... + 2220693.

It is an arithmetic number, because the mean of its divisors is an integer number (558993960).

Almost surely, 210931434976 is an apocalyptic number.

10931434976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10931434976 is an abundant number, since it is smaller than the sum of its proper divisors (15900275104).

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

10931434976 is a wasteful number, since it uses less digits than its factorization.

10931434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436487 (or 4436479 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 10931434976 in words is "ten billion, nine hundred thirty-one million, four hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4436459 8872918 17745836 31055213 35491672 48801049 62110426 70983344 97602098 124220852 141966688 195204196 248441704 341607343 390408392 496883408 683214686 780816784 993766816 1366429372 1561633568 2732858744 5465717488 10931434976