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131960733696 = 21632112432
BaseRepresentation
bin111101011100101111…
…0010000000000000000
3110121121120101211121100
41322321132100000000
54130223421434241
6140342200254400
712351052505061
oct1727136200000
9417546354540
10131960733696
1150a67437400
12216a9471400
13c5a018129c
14655ba62568
15367506b9b6
hex1eb9790000

131960733696 has 459 divisors, whose sum is σ = 428994989787. Its totient is φ = 39058145280.

The previous prime is 131960733677. The next prime is 131960733701. The reversal of 131960733696 is 696337069131.

The square root of 131960733696 is 363264.

It is a perfect power (a square), and thus also a powerful number.

131960733696 is a `hidden beast` number, since 13 + 19 + 607 + 3 + 3 + 6 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3068854251 + ... + 3068854293.

Almost surely, 2131960733696 is an apocalyptic number.

131960733696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131960733696 is the 363264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131960733696

131960733696 is an abundant number, since it is smaller than the sum of its proper divisors (297034256091).

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

131960733696 is an frugal number, since it uses more digits than its factorization.

131960733696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 131960733696 in words is "one hundred thirty-one billion, nine hundred sixty million, seven hundred thirty-three thousand, six hundred ninety-six".