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131036537874 = 23112296792893
BaseRepresentation
bin111101000001001100…
…0101110010000010010
3110112020011100211021110
41322002120232100102
54121330323202444
6140110343434150
712316131123444
oct1720230562022
9415204324243
10131036537874
1150632789400
122148ba55956
13c483865758
1464b1008494
15361dd60cb9
hex1e8262e412

131036537874 has 96 divisors (see below), whose sum is σ = 302448000960. Its totient is φ = 37766171520.

The previous prime is 131036537869. The next prime is 131036537893. The reversal of 131036537874 is 478735630131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364172 + ... + 1457064.

It is an arithmetic number, because the mean of its divisors is an integer number (3150500010).

Almost surely, 2131036537874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131036537874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151224000480).

131036537874 is an abundant number, since it is smaller than the sum of its proper divisors (171411463086).

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

131036537874 is a wasteful number, since it uses less digits than its factorization.

131036537874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93016 (or 93005 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 131036537874 in words is "one hundred thirty-one billion, thirty-six million, five hundred thirty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 67 87 121 134 174 201 242 319 363 402 638 726 737 957 1474 1914 1943 2211 3509 3886 4422 5829 7018 8107 10527 11658 16214 21054 21373 24321 42746 48642 64119 92893 128238 185786 235103 278679 470206 557358 705309 1021823 1410618 2043646 2693897 3065469 5387794 6130938 6223831 8081691 11240053 12447662 16163382 18671493 22480106 29632867 33720159 37342986 59265734 67440318 68462141 88898601 136924282 177797202 180491099 205386423 325961537 360982198 410772846 541473297 651923074 753083551 977884611 1082946594 1506167102 1955769222 1985402089 2259250653 3970804178 4518501306 5956206267 11912412534 21839422979 43678845958 65518268937 131036537874