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10937756704 = 257533073001
BaseRepresentation
bin10100010111111000…
…01110110000100000
31001020021022121111011
422023330032300200
5134400031203304
65005202030304
7535022253340
oct121374166040
931207277434
1010937756704
114703095556
122153048394
1310540735b4
1475a90ad20
15440396c04
hex28bf0ec20

10937756704 has 96 divisors (see below), whose sum is σ = 25164349056. Its totient is φ = 4582656000.

The previous prime is 10937756689. The next prime is 10937756717. The reversal of 10937756704 is 40765773901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3643204 + ... + 3646204.

It is an arithmetic number, because the mean of its divisors is an integer number (262128636).

Almost surely, 210937756704 is an apocalyptic number.

10937756704 is a gapful number since it is divisible by the number (14) 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 10937756704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582174528).

10937756704 is an abundant number, since it is smaller than the sum of its proper divisors (14226592352).

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

10937756704 is a wasteful number, since it uses less digits than its factorization.

10937756704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 10937756704 in words is "ten billion, nine hundred thirty-seven million, seven hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 307 371 424 614 742 848 1228 1484 1696 2149 2456 2968 3001 4298 4912 5936 6002 8596 9824 11872 12004 16271 17192 21007 24008 32542 34384 42014 48016 65084 68768 84028 96032 113897 130168 159053 168056 227794 260336 318106 336112 455588 520672 636212 672224 911176 921307 1113371 1272424 1822352 1842614 2226742 2544848 3644704 3685228 4453484 5089696 6449149 7370456 8906968 12898298 14740912 17813936 25796596 29481824 35627872 48829271 51593192 97658542 103186384 195317084 206372768 341804897 390634168 683609794 781268336 1367219588 1562536672 2734439176 5468878352 10937756704