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136556679456 = 25323115295327
BaseRepresentation
bin111111100101101101…
…0011001000100100000
3111001110212111001221200
41333023122121010200
54214132002220311
6142422215321200
712603000423621
oct1771332310440
9431425431850
10136556679456
1152a0575a48a
1222570680200
13cb533ac112
1468761c5a48
1538437ad556
hex1fcb699120

136556679456 has 72 divisors (see below), whose sum is σ = 400859956224. Its totient is φ = 44050538880.

The previous prime is 136556679437. The next prime is 136556679461. The reversal of 136556679456 is 654976655631.

136556679456 is a `hidden beast` number, since 1 + 3 + 6 + 55 + 66 + 79 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136556679393 and 136556679402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7638736 + ... + 7656591.

It is an arithmetic number, because the mean of its divisors is an integer number (5567499392).

Almost surely, 2136556679456 is an apocalyptic number.

136556679456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136556679456 is an abundant number, since it is smaller than the sum of its proper divisors (264303276768).

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

136556679456 is a wasteful number, since it uses less digits than its factorization.

136556679456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15295374 (or 15295363 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 136556679456 in words is "one hundred thirty-six billion, five hundred fifty-six million, six hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 15295327 30590654 45885981 61181308 91771962 122362616 137657943 183543924 244725232 275315886 367087848 474155137 489450464 550631772 734175696 948310274 1101263544 1422465411 1468351392 1896620548 2202527088 2844930822 3793241096 4267396233 4405054176 5689861644 7586482192 8534792466 11379723288 15172964384 17069584932 22759446576 34139169864 45518893152 68278339728 136556679456