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136900609344 = 2632237674669
BaseRepresentation
bin111111101111111101…
…0011000010101000000
3111002100211122112001200
41333133322120111000
54220333023444334
6142520303101200
712614344656642
oct1773772302500
9432324575050
10136900609344
1153071909064
12226478a1800
13cba971b425
1468a9b52892
153863a98799
hex1fdfe98540

136900609344 has 42 divisors (see below), whose sum is σ = 392400880170. Its totient is φ = 45633536256.

The previous prime is 136900609333. The next prime is 136900609369. The reversal of 136900609344 is 443906009631.

136900609344 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 0 + 0 + 609 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125519986944 + 11380622400 = 354288^2 + 106680^2 .

It is a super-2 number, since 2×1369006093442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136900609344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118836759 + ... + 118837910.

Almost surely, 2136900609344 is an apocalyptic number.

It is an amenable number.

136900609344 is an abundant number, since it is smaller than the sum of its proper divisors (255500270826).

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

136900609344 is a wasteful number, since it uses less digits than its factorization.

136900609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237674687 (or 237674674 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 136900609344 in words is "one hundred thirty-six billion, nine hundred million, six hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 237674669 475349338 713024007 950698676 1426048014 1901397352 2139072021 2852096028 3802794704 4278144042 5704192056 7605589408 8556288084 11408384112 15211178816 17112576168 22816768224 34225152336 45633536448 68450304672 136900609344