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131630607760 = 2451645382597
BaseRepresentation
bin111101010010111001…
…0111010110110010000
3110120202120012200221211
41322211302322312100
54124034413422020
6140245324425504
712336633463561
oct1724562726620
9416676180854
10131630607760
1150908056953
12216169a8294
13c5499660b2
146529c8a168
1536560ab85a
hex1ea5cbad90

131630607760 has 20 divisors (see below), whose sum is σ = 306041163228. Its totient is φ = 52652243072.

The previous prime is 131630607743. The next prime is 131630607791. The reversal of 131630607760 is 67706036131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95463696784 + 36166910976 = 308972^2 + 190176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 822691219 + ... + 822691378.

Almost surely, 2131630607760 is an apocalyptic number.

131630607760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131630607760 is an abundant number, since it is smaller than the sum of its proper divisors (174410555468).

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

131630607760 is a wasteful number, since it uses less digits than its factorization.

131630607760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645382610 (or 1645382604 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 131630607760 in words is "one hundred thirty-one billion, six hundred thirty million, six hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1645382597 3290765194 6581530388 8226912985 13163060776 16453825970 26326121552 32907651940 65815303880 131630607760