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10137374680368 = 2431398391651163
BaseRepresentation
bin1001001110000100101010…
…0111011110010100110000
31022220010100001221002002010
42103201022213132110300
52312042320404232433
633321013505122520
72064254411016435
oct223411247362460
938803301832063
1010137374680368
1132592667a9711
121178836329440
13586c47b50a40
14270919c07b8c
15128a6a431e63
hex9384a9de530

10137374680368 has 80 divisors (see below), whose sum is σ = 28205579727360. Its totient is φ = 3118873297152.

The previous prime is 10137374680361. The next prime is 10137374680387. The reversal of 10137374680368 is 86308647373101.

It is not an unprimeable number, because it can be changed into a prime (10137374680361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5313955 + ... + 6965117.

It is an arithmetic number, because the mean of its divisors is an integer number (352569746592).

Almost surely, 210137374680368 is an apocalyptic number.

It is an amenable number.

10137374680368 is an abundant number, since it is smaller than the sum of its proper divisors (18068205046992).

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

10137374680368 is a wasteful number, since it uses less digits than its factorization.

10137374680368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661026 (or 1661020 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 10137374680368 in words is "ten trillion, one hundred thirty-seven billion, three hundred seventy-four million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 9839 19678 29517 39356 59034 78712 118068 127907 157424 236136 255814 383721 472272 511628 767442 1023256 1534884 1651163 2046512 3069768 3302326 4953489 6139536 6604652 9906978 13209304 19813956 21465119 26418608 39627912 42930238 64395357 79255824 85860476 128790714 171720952 257581428 343441904 515162856 1030325712 16245792757 32491585514 48737378271 64983171028 97474756542 129966342056 194949513084 211195305841 259932684112 389899026168 422390611682 633585917523 779798052336 844781223364 1267171835046 1689562446728 2534343670092 3379124893456 5068687340184 10137374680368