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131608659468 = 2231113314752639
BaseRepresentation
bin111101010010001111…
…1001100011000001100
3110120201000220121120010
41322210133030120030
54124013304100333
6140243222153220
712336246101436
oct1724437143014
9416630817503
10131608659468
11508a6725870
122160b582810
13c54524cc40
146526db5656
1536541c3563
hex1ea47cc60c

131608659468 has 192 divisors, whose sum is σ = 380342108160. Its totient is φ = 34867411200.

The previous prime is 131608659419. The next prime is 131608659491. The reversal of 131608659468 is 864956806131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2473893 + ... + 2526531.

It is an arithmetic number, because the mean of its divisors is an integer number (1980948480).

Almost surely, 2131608659468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131608659468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190171054080).

131608659468 is an abundant number, since it is smaller than the sum of its proper divisors (248733448692).

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

131608659468 is a wasteful number, since it uses less digits than its factorization.

131608659468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52748 (or 52746 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 131608659468 in words is "one hundred thirty-one billion, six hundred eight million, six hundred fifty-nine thousand, four hundred sixty-eight".