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137676636448 = 2513837975003
BaseRepresentation
bin1000000000111000101…
…0101100000100100000
3111011100220212210010021
42000032022230010200
54223430204331243
6143125304043224
712642520046431
oct2001612540440
9434326783107
10137676636448
115342a96577a
1222823763514
13cca1429770
146940c3b488
1538abc876ed
hex200e2ac120

137676636448 has 96 divisors (see below), whose sum is σ = 295847608896. Its totient is φ = 62686184448.

The previous prime is 137676636397. The next prime is 137676636481. The reversal of 137676636448 is 844636676731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27516315 + ... + 27521317.

It is an arithmetic number, because the mean of its divisors is an integer number (3081745926).

Almost surely, 2137676636448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137676636448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147923804448).

137676636448 is an abundant number, since it is smaller than the sum of its proper divisors (158170972448).

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

137676636448 is a wasteful number, since it uses less digits than its factorization.

137676636448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 61.

The spelling of 137676636448 in words is "one hundred thirty-seven billion, six hundred seventy-six million, six hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 797 1079 1328 1594 2158 2656 3188 4316 5003 6376 8632 10006 10361 12752 17264 20012 20722 25504 34528 40024 41444 65039 66151 80048 82888 130078 132302 160096 165776 260156 264604 331552 415249 520312 529208 830498 859963 1040624 1058416 1660996 1719926 2081248 2116832 3321992 3439852 3987391 5398237 6643984 6879704 7974782 10796474 13287968 13759408 15949564 21592948 27518816 31899128 43185896 51836083 63798256 86371792 103672166 127596512 172743584 207344332 330953453 414688664 661906906 829377328 1323813812 1658754656 2647627624 4302394889 5295255248 8604789778 10590510496 17209579556 34419159112 68838318224 137676636448