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56106055600 = 24527139914323
BaseRepresentation
bin110100010000001011…
…100111011110110000
312100211010102221020021
4310100023213132300
51404401122234400
641435203253224
74024234414060
oct642013473660
9170733387207
1056106055600
1121881450aa1
12aa5997a214
1353a1abc68a
142a036693a0
1516d597b71a
hexd102e77b0

56106055600 has 120 divisors (see below), whose sum is σ = 154172076800. Its totient is φ = 19221269760.

The previous prime is 56106055589. The next prime is 56106055627. The reversal of 56106055600 is 655060165.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3910039 + ... + 3924361.

Almost surely, 256106055600 is an apocalyptic number.

56106055600 is a gapful number since it is divisible by the number (50) 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 56106055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77086038400).

56106055600 is an abundant number, since it is smaller than the sum of its proper divisors (98066021200).

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

56106055600 is a wasteful number, since it uses less digits than its factorization.

56106055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15747 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 56106055600 in words is "fifty-six billion, one hundred six million, fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1399 1400 2798 2800 5596 6995 9793 11192 13990 14323 19586 22384 27980 28646 34975 39172 48965 55960 57292 69950 71615 78344 97930 100261 111920 114584 139900 143230 156688 195860 200522 229168 244825 279800 286460 358075 391720 401044 489650 501305 559600 572920 716150 783440 802088 979300 1002610 1145840 1432300 1604176 1958600 2005220 2506525 2864600 3917200 4010440 5013050 5729200 8020880 10026100 20037877 20052200 40075754 40104400 80151508 100189385 140265139 160303016 200378770 280530278 320606032 400757540 500946925 561060556 701325695 801515080 1001893850 1122121112 1402651390 1603030160 2003787700 2244242224 2805302780 3506628475 4007575400 5610605560 7013256950 8015150800 11221211120 14026513900 28053027800 56106055600