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104052695184 = 2432268812
BaseRepresentation
bin110000011101000000…
…1100010000010010000
3100221120121111120220100
41200322001202002100
53201044442221214
6115445014212400
710342344213234
oct1407201420220
9327517446810
10104052695184
1140146040a69
12181bb054100
139a73321229
1450713b05c4
152a8ee1d309
hex183a062090

104052695184 has 45 divisors (see below), whose sum is σ = 291213862329. Its totient is φ = 34682941440.

The previous prime is 104052695171. The next prime is 104052695233. The reversal of 104052695184 is 481596250401.

The square root of 104052695184 is 322572.

It is a perfect power (a square), and thus also a powerful number.

104052695184 is a `hidden beast` number, since 1 + 0 + 40 + 526 + 9 + 5 + 1 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80753725584 + 23298969600 = 284172^2 + 152640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3857424 + ... + 3884304.

Almost surely, 2104052695184 is an apocalyptic number.

104052695184 is the 322572-nd square number.

It is an amenable number.

104052695184 is an abundant number, since it is smaller than the sum of its proper divisors (187161167145).

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

104052695184 is an frugal number, since it uses more digits than its factorization.

104052695184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53776 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 104052 and 695184, that added together give a square (799236 = 8942).

The spelling of 104052695184 in words is "one hundred four billion, fifty-two million, six hundred ninety-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 26881 53762 80643 107524 161286 215048 241929 322572 430096 483858 645144 967716 1290288 1935432 3870864 722588161 1445176322 2167764483 2890352644 4335528966 5780705288 6503293449 8671057932 11561410576 13006586898 17342115864 26013173796 34684231728 52026347592 104052695184