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131744037756684 = 22319266739455683
BaseRepresentation
bin11101111101001000001100…
…100100100101111100001100
3122021110121101111201221101010
4131331020030210211330030
5114231443242131203214
61144110213031445220
736515123033064303
oct3575101444457414
9567417344657333
10131744037756684
1138a83372832151
1212938a63826810
135868542751342
14247663445943a
151036e710d1659
hex77d20c925f0c

131744037756684 has 72 divisors (see below), whose sum is σ = 324438951506880. Its totient is φ = 41602665672288.

The previous prime is 131744037756673. The next prime is 131744037756769. The reversal of 131744037756684 is 486657730447131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288885507 + ... + 289341189.

Almost surely, 2131744037756684 is an apocalyptic number.

It is an amenable number.

131744037756684 is an abundant number, since it is smaller than the sum of its proper divisors (192694913750196).

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

131744037756684 is a wasteful number, since it uses less digits than its factorization.

131744037756684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522467 (or 522446 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 66.

The spelling of 131744037756684 in words is "one hundred thirty-one trillion, seven hundred forty-four billion, thirty-seven million, seven hundred fifty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 66739 133478 200217 266956 400434 455683 800868 911366 1268041 1367049 1822732 2536082 2734098 3804123 5072164 5468196 7608246 8657977 15216492 17315954 24092779 25973931 34631908 48185558 51947862 72278337 96371116 103895724 144556674 164501563 289113348 329003126 493504689 658006252 987009378 1974018756 30411827737 60823655474 91235483211 121647310948 182470966422 364941932844 577824727003 1155649454006 1733474181009 2311298908012 3466948362018 6933896724036 10978669813057 21957339626114 32936009439171 43914679252228 65872018878342 131744037756684