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131871341664 = 25321034445501
BaseRepresentation
bin111101011010000100…
…1001111110001100000
3110121101100012020210100
41322310021033301200
54130033030413124
6140325244302400
712345615623646
oct1726411176140
9417340166710
10131871341664
1150a20a30897
1221683541a00
13c5877b2caa
14654dc33196
15366c2b01c9
hex1eb424fc60

131871341664 has 72 divisors (see below), whose sum is σ = 378650078352. Its totient is φ = 43530336000.

The previous prime is 131871341629. The next prime is 131871341671. The reversal of 131871341664 is 466143178131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2193087 + ... + 2252414.

It is an arithmetic number, because the mean of its divisors is an integer number (5259028866).

Almost surely, 2131871341664 is an apocalyptic number.

It is an amenable number.

131871341664 is an abundant number, since it is smaller than the sum of its proper divisors (246778736688).

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

131871341664 is a wasteful number, since it uses less digits than its factorization.

131871341664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445620 (or 4445609 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 131871341664 in words is "one hundred thirty-one billion, eight hundred seventy-one million, three hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 4445501 8891002 13336503 17782004 26673006 35564008 40009509 53346012 71128016 80019018 106692024 142256032 160038036 213384048 320076072 426768096 457886603 640152144 915773206 1280304288 1373659809 1831546412 2747319618 3663092824 4120979427 5494639236 7326185648 8241958854 10989278472 14652371296 16483917708 21978556944 32967835416 43957113888 65935670832 131871341664