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15731642136 = 2337891139311
BaseRepresentation
bin11101010011010110…
…11100111100011000
31111121100212020000110
432221223130330120
5224204300022021
611121011404320
71064562515610
oct165153347430
944540766013
1015731642136
116743113641
1230705b36a0
1316392b69b2
14a93477a40
15621187476
hex3a9adcf18

15731642136 has 128 divisors (see below), whose sum is σ = 45859737600. Its totient is φ = 4404449280.

The previous prime is 15731642119. The next prime is 15731642191. The reversal of 15731642136 is 63124613751.

It is a junction number, because it is equal to n+sod(n) for n = 15731642094 and 15731642103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684921 + ... + 1694231.

It is an arithmetic number, because the mean of its divisors is an integer number (358279200).

Almost surely, 215731642136 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 15731642136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929868800).

15731642136 is an abundant number, since it is smaller than the sum of its proper divisors (30128095464).

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

15731642136 is a wasteful number, since it uses less digits than its factorization.

15731642136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9525 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 15731642136 in words is "fifteen billion, seven hundred thirty-one million, six hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 113 168 178 226 267 339 356 452 534 623 678 712 791 904 1068 1246 1356 1582 1869 2136 2373 2492 2712 3164 3738 4746 4984 6328 7476 9311 9492 10057 14952 18622 18984 20114 27933 30171 37244 40228 55866 60342 65177 70399 74488 80456 111732 120684 130354 140798 195531 211197 223464 241368 260708 281596 391062 422394 521416 563192 782124 828679 844788 1052143 1564248 1657358 1689576 2104286 2486037 3156429 3314716 4208572 4972074 5800753 6312858 6629432 7365001 8417144 9944148 11601506 12625716 14730002 17402259 19888296 22095003 23203012 25251432 29460004 34804518 44190006 46406024 58920008 69609036 88380012 93640727 139218072 176760024 187281454 280922181 374562908 561844362 655485089 749125816 1123688724 1310970178 1966455267 2247377448 2621940356 3932910534 5243880712 7865821068 15731642136