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131320479211488 = 25327176012763727
BaseRepresentation
bin11101110110111101101110…
…100000111101111111100000
3122012222010002222121110211100
4131312331232200331333200
5114203023320134231423
61143143443442114400
736442406615622120
oct3566755640757740
9565863088543740
10131320479211488
113892a77aaa7096
121288a95694ba00
135837611411038
14245dd33532c80
15102ae31348343
hex776f6e83dfe0

131320479211488 has 288 divisors, whose sum is σ = 451911550132224. Its totient is φ = 35311928610816.

The previous prime is 131320479211463. The next prime is 131320479211529. The reversal of 131320479211488 is 884112974023131.

It is a happy number.

131320479211488 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 0 + 479 + 21 + 148 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060640681 + ... + 2060704407.

It is an arithmetic number, because the mean of its divisors is an integer number (1569137326848).

Almost surely, 2131320479211488 is an apocalyptic number.

131320479211488 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 131320479211488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225955775066112).

131320479211488 is an abundant number, since it is smaller than the sum of its proper divisors (320591070920736).

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

131320479211488 is a wasteful number, since it uses less digits than its factorization.

131320479211488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123894 (or 123883 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 131320479211488 in words is "one hundred thirty-one trillion, three hundred twenty billion, four hundred seventy-nine million, two hundred eleven thousand, four hundred eighty-eight".