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10503790656 = 263419471409
BaseRepresentation
bin10011100100001001…
…10010000001000000
31000010000201211222120
421302010302001000
5133002432300111
64454140404240
7521202514242
oct116204620100
930100654876
1010503790656
114500130427
122051846680
13cb519ba58
14719024092
15417224406
hex272132040

10503790656 has 112 divisors (see below), whose sum is σ = 28519404480. Its totient is φ = 3409838080.

The previous prime is 10503790603. The next prime is 10503790657. The reversal of 10503790656 is 65609730501.

It is a happy number.

It is a super-2 number, since 2×105037906562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10503790657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7454080 + ... + 7455488.

It is an arithmetic number, because the mean of its divisors is an integer number (254637540).

Almost surely, 210503790656 is an apocalyptic number.

10503790656 is a gapful number since it is divisible by the number (16) 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 10503790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259702240).

10503790656 is an abundant number, since it is smaller than the sum of its proper divisors (18015613824).

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

10503790656 is a wasteful number, since it uses less digits than its factorization.

10503790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 10503790656 in words is "ten billion, five hundred three million, seven hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 947 984 1312 1409 1894 1968 2624 2818 2841 3788 3936 4227 5636 5682 7576 7872 8454 11272 11364 15152 16908 22544 22728 30304 33816 38827 45088 45456 57769 60608 67632 77654 90176 90912 115538 116481 135264 155308 173307 181824 231076 232962 270528 310616 346614 462152 465924 621232 693228 924304 931848 1242464 1334323 1386456 1848608 1863696 2484928 2668646 2772912 3697216 3727392 4002969 5337292 5545824 7454784 8005938 10674584 11091648 16011876 21349168 32023752 42698336 54707243 64047504 85396672 109414486 128095008 164121729 218828972 256190016 328243458 437657944 656486916 875315888 1312973832 1750631776 2625947664 3501263552 5251895328 10503790656