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131136647004 = 2233111723282313
BaseRepresentation
bin111101000100001011…
…0100110111101011100
3110112111010201220012000
41322020112212331130
54122031440201004
6140124321242300
712321455052006
oct1721026467534
9415433656160
10131136647004
1150684244920
12214b9493390
13c49b516b1c
1464c0427376
153627a37c39
hex1e885a6f5c

131136647004 has 192 divisors, whose sum is σ = 409784417280. Its totient is φ = 35774576640.

The previous prime is 131136646973. The next prime is 131136647053. The reversal of 131136647004 is 400746631131.

131136647004 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 6 + 647 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131136647004.

It is a congruent number.

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, 323352 + ... + 605664.

It is an arithmetic number, because the mean of its divisors is an integer number (2134293840).

Almost surely, 2131136647004 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 131136647004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204892208640).

131136647004 is an abundant number, since it is smaller than the sum of its proper divisors (278647770276).

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

131136647004 is a wasteful number, since it uses less digits than its factorization.

131136647004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282377 (or 282369 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 131136647004 in words is "one hundred thirty-one billion, one hundred thirty-six million, six hundred forty-seven thousand, four".