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56063601258900 = 223521731080223531
BaseRepresentation
bin11001011111101010100110…
…00010011011000110010100
321100111121221202200112021120
430233311103002123012110
524322021223410241100
6315123132440043540
714544314205624144
oct1457652302330624
9240447852615246
1056063601258900
1116955492376724
1263556027635b0
132538a0c641081
14dbb6c8286924
156735225aa0a0
hex32fd5309b194

56063601258900 has 72 divisors (see below), whose sum is σ = 163148320485024. Its totient is φ = 14863875772800.

The previous prime is 56063601258887. The next prime is 56063601258913. The reversal of 56063601258900 is 985210636065.

56063601258900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56063601258887) and next prime (56063601258913).

It is a super-2 number, since 2×560636012589002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540059866 + ... + 540163665.

Almost surely, 256063601258900 is an apocalyptic number.

56063601258900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56063601258900 is an abundant number, since it is smaller than the sum of its proper divisors (107084719226124).

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

56063601258900 is a wasteful number, since it uses less digits than its factorization.

56063601258900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080223721 (or 1080223714 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 56063601258900 in words is "fifty-six trillion, sixty-three billion, six hundred one million, two hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 1080223531 2160447062 3240670593 4320894124 5401117655 6481341186 10802235310 12962682372 16203352965 21604470620 27005588275 32406705930 54011176550 64813411860 81016764825 108022353100 162033529650 186878670863 324067059300 373757341726 560636012589 747514683452 934393354315 1121272025178 1868786708630 2242544050356 2803180062945 3737573417260 4671966771575 5606360125890 9343933543150 11212720251780 14015900314725 18687867086300 28031800629450 56063601258900