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10253315504256 = 2731123105538903
BaseRepresentation
bin1001010100110100100100…
…1110100111100010000000
31100022012121012001011202120
42111031021032213202000
52320442242232114011
633450150315244240
72105530500532236
oct225151116474200
940265535034676
1010253315504256
1132a3452331730
1211971b2749680
13594b64097746
14276397dd4956
1512baa3d73a06
hex953493a7880

10253315504256 has 128 divisors (see below), whose sum is σ = 31003108439040. Its totient is φ = 2971975480320.

The previous prime is 10253315504207. The next prime is 10253315504293. The reversal of 10253315504256 is 65240551335201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102533155042562 (a number of 27 digits) contains 22 as substring.

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, 52672300 + ... + 52866603.

It is an arithmetic number, because the mean of its divisors is an integer number (242211784680).

Almost surely, 210253315504256 is an apocalyptic number.

10253315504256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10253315504256 is an abundant number, since it is smaller than the sum of its proper divisors (20749792934784).

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

10253315504256 is a wasteful number, since it uses less digits than its factorization.

10253315504256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105538954 (or 105538942 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 10253315504256 its reverse (65240551335201), we get a palindrome (75493866839457).

The spelling of 10253315504256 in words is "ten trillion, two hundred fifty-three billion, three hundred fifteen million, five hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 97152 105538903 211077806 316616709 422155612 633233418 844311224 1160927933 1266466836 1688622448 2321855866 2427394769 2532933672 3377244896 3482783799 4643711732 4854789538 5065867344 6754489792 6965567598 7282184307 9287423464 9709579076 10131734688 13508979584 13931135196 14564368614 18574846928 19419158152 20263469376 26701342459 27862270392 29128737228 37149693856 38838316304 40526938752 53402684918 55724540784 58257474456 74299387712 77676632608 80104027377 106805369836 111449081568 116514948912 148598775424 155353265216 160208054754 213610739672 222898163136 233029897824 310706530432 320416109508 427221479344 445796326272 466059795648 640832219016 854442958688 932119591296 1281664438032 1708885917376 2563328876064 3417771834752 5126657752128 10253315504256