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131465873088 = 263211128916097
BaseRepresentation
bin111101001101111111…
…0100000011011000000
3110120100002020022110200
41322123332200123000
54123220230414323
6140221121525200
712332563324554
oct1723376403300
9416302208420
10131465873088
11508330702a0
122158b7a3800
13c5217a8564
146512047864
1536468bb443
hex1e9bfa06c0

131465873088 has 168 divisors, whose sum is σ = 411424313040. Its totient is φ = 39804764160.

The previous prime is 131465873057. The next prime is 131465873089. The reversal of 131465873088 is 880378564131.

It is a happy number.

131465873088 is a `hidden beast` number, since 1 + 31 + 465 + 8 + 73 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (131465873089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8159056 + ... + 8175152.

Almost surely, 2131465873088 is an apocalyptic number.

131465873088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131465873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205712156520).

131465873088 is an abundant number, since it is smaller than the sum of its proper divisors (279958439952).

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

131465873088 is a wasteful number, since it uses less digits than its factorization.

131465873088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17415 (or 17402 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 131465873088 in words is "one hundred thirty-one billion, four hundred sixty-five million, eight hundred seventy-three thousand, eighty-eight".