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131694472674 = 233232272511861
BaseRepresentation
bin111101010100110011…
…0100010110111100010
3110120221000101101011000
41322221212202313202
54124202241111144
6140255525332430
712341340355632
oct1725146426742
9416830341130
10131694472674
1150940107576
1221634267116
13c559c6729b
1465345526c2
15365b9c4769
hex1ea99a2de2

131694472674 has 128 divisors (see below), whose sum is σ = 308111247360. Its totient is φ = 41615640000.

The previous prime is 131694472673. The next prime is 131694472681. The reversal of 131694472674 is 476274496131.

131694472674 is a `hidden beast` number, since 1 + 3 + 16 + 94 + 472 + 6 + 74 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131694472674.

It is not an unprimeable number, because it can be changed into a prime (131694472673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70764504 + ... + 70766364.

It is an arithmetic number, because the mean of its divisors is an integer number (2407119120).

Almost surely, 2131694472674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131694472674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154055623680).

131694472674 is an abundant number, since it is smaller than the sum of its proper divisors (176416774686).

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

131694472674 is a wasteful number, since it uses less digits than its factorization.

131694472674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2367 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 131694472674 in words is "one hundred thirty-one billion, six hundred ninety-four million, four hundred seventy-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 227 251 414 454 502 621 681 753 1242 1362 1506 1861 2043 2259 3722 4086 4518 5221 5583 5773 6129 6777 10442 11166 11546 12258 13554 15663 16749 17319 31326 33498 34638 42803 46989 50247 51957 56977 85606 93978 100494 103914 113954 128409 140967 155871 170931 256818 281934 311742 341862 385227 422447 467111 512793 770454 844894 934222 1025586 1155681 1267341 1310471 1401333 1538379 2311362 2534682 2620942 2802666 3076758 3802023 3931413 4203999 7604046 7862826 8407998 9716281 10743553 11406069 11794239 12611997 19432562 21487106 22812138 23588478 25223994 29148843 32230659 35382717 58297686 64461318 70765434 87446529 96691977 106034197 174893058 193383954 212068394 262339587 290075931 318102591 524679174 580151862 636205182 954307773 1908615546 2438786531 2862923319 4877573062 5725846638 7316359593 14632719186 21949078779 43898157558 65847236337 131694472674