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116388038304 = 25322002920177
BaseRepresentation
bin110110001100101000…
…1001000011010100000
3102010102021121221112100
41230121101020122200
53401330314211204
6125245023330400
711260130000556
oct1543121103240
9363367557470
10116388038304
11453a601690a
121a682150a00
13ac8aaa9825
1458c1761bd6
153062d2ea39
hex1b194486a0

116388038304 has 72 divisors (see below), whose sum is σ = 331011413460. Its totient is φ = 38792153088.

The previous prime is 116388038303. The next prime is 116388038317. The reversal of 116388038304 is 403830883611.

116388038304 is a `hidden beast` number, since 1 + 1 + 638 + 8 + 0 + 3 + 8 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116316466704 + 71571600 = 341052^2 + 8460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 116388038304.

It is not an unprimeable number, because it can be changed into a prime (116388038303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5758264 + ... + 5778440.

Almost surely, 2116388038304 is an apocalyptic number.

It is an amenable number.

116388038304 is an abundant number, since it is smaller than the sum of its proper divisors (214623375156).

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

116388038304 is a wasteful number, since it uses less digits than its factorization.

116388038304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40222 (or 40211 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 116388038304 in words is "one hundred sixteen billion, three hundred eighty-eight million, thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20029 20177 40058 40354 60087 60531 80116 80708 120174 121062 160232 161416 180261 181593 240348 242124 320464 322832 360522 363186 480696 484248 640928 645664 721044 726372 961392 968496 1442088 1452744 1922784 1936992 2884176 2905488 5768352 5810976 404125133 808250266 1212375399 1616500532 2424750798 3233001064 3637126197 4849501596 6466002128 7274252394 9699003192 12932004256 14548504788 19398006384 29097009576 38796012768 58194019152 116388038304