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131138948556 = 22327111983131229
BaseRepresentation
bin111101000100001111…
…1011000110111001100
3110112111022001211022200
41322020133120313030
54122033032323211
6140124442441500
712321513446040
oct1721037306714
9415438054280
10131138948556
1150685577030
12214ba203290
13c49bb415a5
1464c0866020
153627d3eb56
hex1e887d8dcc

131138948556 has 576 divisors, whose sum is σ = 445577932800. Its totient is φ = 31499020800.

The previous prime is 131138948477. The next prime is 131138948579. The reversal of 131138948556 is 655849831131.

131138948556 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 89 + 4 + 8 + 556 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 572659050 + ... + 572659278.

It is an arithmetic number, because the mean of its divisors is an integer number (773572800).

Almost surely, 2131138948556 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 131138948556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222788966400).

131138948556 is an abundant number, since it is smaller than the sum of its proper divisors (314438984244).

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

131138948556 is a wasteful number, since it uses less digits than its factorization.

131138948556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 131138948556 in words is "one hundred thirty-one billion, one hundred thirty-eight million, nine hundred forty-eight thousand, five hundred fifty-six".