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137685323934 = 2341722940863
BaseRepresentation
bin1000000000111010101…
…1110101000010011110
3111011101112020011010000
42000032223311002132
54223434420331214
6143130214155130
712642653641404
oct2001653650236
9434345204100
10137685323934
1153434859814
1222826652aa6
13cca317baa2
14694205d474
1538ac901809
hex200eaf509e

137685323934 has 60 divisors (see below), whose sum is σ = 327732825024. Its totient is φ = 43195381056.

The previous prime is 137685323933. The next prime is 137685323947. The reversal of 137685323934 is 439323586731.

137685323934 is a `hidden beast` number, since 1 + 3 + 76 + 8 + 532 + 3 + 9 + 34 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137685323933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1423614 + ... + 1517249.

Almost surely, 2137685323934 is an apocalyptic number.

137685323934 is an abundant number, since it is smaller than the sum of its proper divisors (190047501090).

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

137685323934 is a wasteful number, since it uses less digits than its factorization.

137685323934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940911 (or 2940885 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 137685323934 in words is "one hundred thirty-seven billion, six hundred eighty-five million, three hundred twenty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 46818 2940863 5881726 8822589 17645178 26467767 49994671 52935534 79403301 99989342 149984013 158806602 238209903 299968026 449952039 476419806 849909407 899904078 1349856117 1699818814 2549728221 2699712234 4049568351 5099456442 7649184663 8099136702 15298369326 22947553989 45895107978 68842661967 137685323934