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55656513001728 = 283224156472657
BaseRepresentation
bin11001010011110100010101…
…01011111101100100000000
321022001201012002022101102100
430221322022223331210000
524243334014312023403
6314212125445550400
714503023163550262
oct1451721253754400
9238051162271370
1055656513001728
1116808881699851
1262aa731715400
132509504638222
14da5b0a951b32
15667b487622a3
hex329e8aafd900

55656513001728 has 54 divisors (see below), whose sum is σ = 160471447867094. Its totient is φ = 18552170999808.

The previous prime is 55656513001697. The next prime is 55656513001729. The reversal of 55656513001728 is 82710031565655.

55656513001728 is a `hidden beast` number, since 5 + 5 + 6 + 56 + 513 + 0 + 0 + 1 + 72 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45364427737344 + 10292085264384 = 6735312^2 + 3208128^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55656513001729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12078234025 + ... + 12078238632.

Almost surely, 255656513001728 is an apocalyptic number.

It is an amenable number.

55656513001728 is an abundant number, since it is smaller than the sum of its proper divisors (104814934865366).

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

55656513001728 is a wasteful number, since it uses less digits than its factorization.

55656513001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24156472679 (or 24156472662 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 55656513001728 in words is "fifty-five trillion, six hundred fifty-six billion, five hundred thirteen million, one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 24156472657 48312945314 72469417971 96625890628 144938835942 193251781256 217408253913 289877671884 386503562512 434816507826 579755343768 773007125024 869633015652 1159510687536 1546014250048 1739266031304 2319021375072 3092028500096 3478532062608 4638042750144 6184057000192 6957064125216 9276085500288 13914128250432 18552171000576 27828256500864 55656513001728