Search a number
-
+
102056876871552 = 273329530346317
BaseRepresentation
bin10111001101000111110111…
…111001001000111110000000
3111101100112122020000211012000
4113031013313321020332000
5101334044440434342202
61001020140524304000
730332236356111261
oct2715076771107600
9441315566024160
10102056876871552
112a578095416429
12b5433816a2000
1344c3bcb0a20a5
141b2b81745a968
15bbeb00c3891c
hex5cd1f7e48f80

102056876871552 has 64 divisors (see below), whose sum is σ = 301209532443600. Its totient is φ = 34018958956032.

The previous prime is 102056876871437. The next prime is 102056876871563. The reversal of 102056876871552 is 255178678650201.

It is a happy number.

102056876871552 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 6 + 8 + 7 + 6 + 8 + 71 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1020568768715522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102056876871552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14765169703 + ... + 14765176614.

Almost surely, 2102056876871552 is an apocalyptic number.

102056876871552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102056876871552 is an abundant number, since it is smaller than the sum of its proper divisors (199152655572048).

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

102056876871552 is an equidigital number, since it uses as much as digits as its factorization.

102056876871552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29530346340 (or 29530346322 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 102056876871552 in words is "one hundred two trillion, fifty-six billion, eight hundred seventy-six million, eight hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 29530346317 59060692634 88591038951 118121385268 177182077902 236242770536 265773116853 354364155804 472485541072 531546233706 708728311608 797319350559 944971082144 1063092467412 1417456623216 1594638701118 1889942164288 2126184934824 2834913246432 3189277402236 3779884328576 4252369869648 5669826492864 6378554804472 8504739739296 11339652985728 12757109608944 17009479478592 25514219217888 34018958957184 51028438435776 102056876871552