Search a number
-
+
136972529604 = 22342927092
BaseRepresentation
bin111111110010000110…
…0101110111111000100
3111002112211222110010000
41333210030232333010
54221004431421404
6142531352401300
712616210202001
oct1774414567704
9432484873100
10136972529604
11530a9470899
12226679a6230
13cbbb5accb1
1468b55148a8
15386a053339
hex1fe432efc4

136972529604 has 135 divisors (see below), whose sum is σ = 371370166167. Its totient is φ = 44020936512.

The previous prime is 136972529597. The next prime is 136972529699. The reversal of 136972529604 is 406925279631.

The square root of 136972529604 is 370098.

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

136972529604 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 7 + 2 + 5 + 29 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19515531204 + 117456998400 = 139698^2 + 342720^2 .

It is a super-2 number, since 2×1369725296042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 193190802 + ... + 193191510.

Almost surely, 2136972529604 is an apocalyptic number.

136972529604 is the 370098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136972529604

136972529604 is an abundant number, since it is smaller than the sum of its proper divisors (234397636563).

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

136972529604 is an frugal number, since it uses more digits than its factorization.

136972529604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 136972529604 in words is "one hundred thirty-six billion, nine hundred seventy-two million, five hundred twenty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 709 783 841 1044 1418 1566 1682 2127 2349 2523 2836 3132 3364 4254 4698 5046 6381 7569 8508 9396 10092 12762 15138 19143 20561 22707 25524 30276 38286 41122 45414 57429 61683 68121 76572 82244 90828 114858 123366 136242 185049 229716 246732 272484 370098 502681 555147 596269 740196 1005362 1110294 1192538 1508043 1665441 1788807 2010724 2220588 2385076 3016086 3330882 3577614 4524129 5366421 6032172 6661764 7155228 9048258 10732842 13572387 14577749 16099263 18096516 21465684 27144774 29155498 32198526 40717161 43733247 48297789 54289548 58310996 64397052 81434322 87466494 96595578 131199741 162868644 174932988 193191156 262399482 393599223 422754721 524798964 787198446 845509442 1180797669 1268264163 1574396892 1691018884 2361595338 2536528326 3804792489 4723190676 5073056652 7609584978 11414377467 15219169956 22828754934 34243132401 45657509868 68486264802 136972529604