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56671722144 = 2533628710433
BaseRepresentation
bin110100110001111001…
…011101101010100000
312102021112211202212000
4310301321131222200
51412030430102034
642011251404000
74044243455502
oct646171355240
9172245752760
1056671722144
1122041789704
12ab972b3600
1354620569cb
142a58835d72
15171a466599
hexd31e5daa0

56671722144 has 96 divisors (see below), whose sum is σ = 165334659840. Its totient is φ = 18885758976.

The previous prime is 56671722103. The next prime is 56671722187. The reversal of 56671722144 is 44122717665.

56671722144 is a `hidden beast` number, since 566 + 7 + 1 + 72 + 2 + 14 + 4 = 666.

56671722144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 56671722144.

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, 5426752 + ... + 5437184.

It is an arithmetic number, because the mean of its divisors is an integer number (1722236040).

Almost surely, 256671722144 is an apocalyptic number.

56671722144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56671722144 is an abundant number, since it is smaller than the sum of its proper divisors (108662937696).

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

56671722144 is a wasteful number, since it uses less digits than its factorization.

56671722144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16725 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 56671722144 in words is "fifty-six billion, six hundred seventy-one million, seven hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6287 10433 12574 18861 20866 25148 31299 37722 41732 50296 56583 62598 75444 83464 93897 100592 113166 125196 150888 166928 169749 187794 201184 226332 250392 281691 301776 333856 339498 375588 452664 500784 563382 603552 678996 751176 905328 1001568 1126764 1357992 1502352 1810656 2253528 2715984 3004704 4507056 5431968 9014112 65592271 131184542 196776813 262369084 393553626 524738168 590330439 787107252 1049476336 1180660878 1574214504 1770991317 2098952672 2361321756 3148429008 3541982634 4722643512 6296858016 7083965268 9445287024 14167930536 18890574048 28335861072 56671722144