Search a number
-
+
136325247125004 = 223676678681517
BaseRepresentation
bin11110111111110010110001…
…111011011100011000001100
3122212200120021212101201000000
4132333302301323130120030
5120332023101231000004
61201534542015404300
740500113465155620
oct3677626173343014
9585616255351000
10136325247125004
113a48a238012643
12133588b5523690
135b0b553223cb2
14259426a205180
1510b61ec429c39
hex7bfcb1edc60c

136325247125004 has 84 divisors (see below), whose sum is σ = 408788738353744. Its totient is φ = 38950070601312.

The previous prime is 136325247124967. The next prime is 136325247125101. The reversal of 136325247125004 is 400521742523631.

136325247125004 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 524 + 71 + 2 + 50 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1363252471250042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3339320347 + ... + 3339361170.

Almost surely, 2136325247125004 is an apocalyptic number.

136325247125004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136325247125004 is an abundant number, since it is smaller than the sum of its proper divisors (272463491228740).

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

136325247125004 is an equidigital number, since it uses as much as digits as its factorization.

136325247125004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678681546 (or 6678681529 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 136325247125004 its reverse (400521742523631), we get a palindrome (536846989648635).

The spelling of 136325247125004 in words is "one hundred thirty-six trillion, three hundred twenty-five billion, two hundred forty-seven million, one hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 6678681517 13357363034 20036044551 26714726068 40072089102 46750770619 60108133653 80144178204 93501541238 120216267306 140252311857 180324400959 187003082476 240432534612 280504623714 360648801918 420756935571 540973202877 561009247428 721297603836 841513871142 1081946405754 1262270806713 1622919608631 1683027742284 2163892811508 2524541613426 3245839217262 3786812420139 4868758825893 5049083226852 6491678434524 7573624840278 9737517651786 11360437260417 15147249680556 19475035303572 22720874520834 34081311781251 45441749041668 68162623562502 136325247125004