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55608997728384 = 273248271699417
BaseRepresentation
bin11001010010011011110101…
…00011100101000010000000
321021220011112122221101222200
430221031322203211002000
524242044211404302014
6314134230524433200
714466421542441462
oct1451157243450200
9237804478841880
1055608997728384
111679a709548701
1262a14909a8800
132504ba15aaa79
14da36c0218132
156667b70cca09
hex32937a8e5080

55608997728384 has 48 divisors (see below), whose sum is σ = 160020683570670. Its totient is φ = 18536332575744.

The previous prime is 55608997728377. The next prime is 55608997728391. The reversal of 55608997728384 is 48382779980655.

55608997728384 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 89 + 97 + 72 + 8 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (55608997728377) and next prime (55608997728391).

It can be written as a sum of positive squares in only one way, i.e., 29732242641984 + 25876755086400 = 5452728^2 + 5086920^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24135848557 + ... + 24135850860.

Almost surely, 255608997728384 is an apocalyptic number.

It is an amenable number.

55608997728384 is an abundant number, since it is smaller than the sum of its proper divisors (104411685842286).

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

55608997728384 is a wasteful number, since it uses less digits than its factorization.

55608997728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48271699437 (or 48271699422 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 55608997728384 in words is "fifty-five trillion, six hundred eight billion, nine hundred ninety-seven million, seven hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 48271699417 96543398834 144815098251 193086797668 289630196502 386173595336 434445294753 579260393004 772347190672 868890589506 1158520786008 1544694381344 1737781179012 2317041572016 3089388762688 3475562358024 4634083144032 6178777525376 6951124716048 9268166288064 13902249432096 18536332576128 27804498864192 55608997728384