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130607394372 = 22327213192313033
BaseRepresentation
bin111100110100011001…
…1101010111001000100
3110111010020212002001200
41321220303222321010
54114440443104442
6140000013422500
712302400351300
oct1715063527104
9414106762050
10130607394372
1150432518554
122139019aa30
13c41598bca0
146470018d00
1535e634234c
hex1e68ceae44

130607394372 has 432 divisors, whose sum is σ = 454321445760. Its totient is φ = 31211744256.

The previous prime is 130607394347. The next prime is 130607394377. The reversal of 130607394372 is 273493706031.

It is a happy number.

130607394372 is a `hidden beast` number, since 1 + 3 + 0 + 607 + 3 + 9 + 4 + 37 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (130607394377) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10014768 + ... + 10027800.

Almost surely, 2130607394372 is an apocalyptic number.

130607394372 is a gapful number since it is divisible by the number (12) 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 130607394372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227160722880).

130607394372 is an abundant number, since it is smaller than the sum of its proper divisors (323714051388).

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

130607394372 is a wasteful number, since it uses less digits than its factorization.

130607394372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 130607394372 in words is "one hundred thirty billion, six hundred seven million, three hundred ninety-four thousand, three hundred seventy-two".