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131997447036000 = 2532537131710323011
BaseRepresentation
bin11110000000110100001100…
…111100010001110001100000
3122022100211111001000010111200
4132000310030330101301200
5114300121232420123000
61144422442352041200
736542333534320020
oct3600641474216140
9568324431003450
10131997447036000
113907089175a407
1212979ba5b33200
1358863c8c34870
1424849d3971a80
15103d853387500
hex780d0cf11c60

131997447036000 has 2304 divisors, whose sum is σ = 616434209943552. Its totient is φ = 25956163584000.

The previous prime is 131997447035963. The next prime is 131997447036019. The reversal of 131997447036000 is 630744799131.

131997447036000 is a `hidden beast` number, since 1 + 3 + 199 + 7 + 447 + 0 + 3 + 6 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 5736264495 + ... + 5736287505.

It is an arithmetic number, because the mean of its divisors is an integer number (267549570288).

Almost surely, 2131997447036000 is an apocalyptic number.

131997447036000 is a gapful number since it is divisible by the number (10) 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 131997447036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308217104971776).

131997447036000 is an abundant number, since it is smaller than the sum of its proper divisors (484436762907552).

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

131997447036000 is a wasteful number, since it uses less digits than its factorization.

131997447036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23182 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 131997447036000 in words is "one hundred thirty-one trillion, nine hundred ninety-seven billion, four hundred forty-seven million, thirty-six thousand".