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130234691808 = 25331317253757
BaseRepresentation
bin111100101001010010…
…1111011000011100000
3110110011021112211021000
41321102211323003200
54113210040114213
6135455021232000
712260223421014
oct1712245730340
9413137484230
10130234691808
11502610a7601
12212a7402600
13c3866b7520
14643671c544
1535c3771c73
hex1e5297b0e0

130234691808 has 576 divisors, whose sum is σ = 443332854720. Its totient is φ = 36954537984.

The previous prime is 130234691801. The next prime is 130234691813. The reversal of 130234691808 is 808196432031.

130234691808 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 469 + 180 + 8 = 666.

It is a super-2 number, since 2×1302346918082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130234691801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172040166 + ... + 172040922.

It is an arithmetic number, because the mean of its divisors is an integer number (769675095).

Almost surely, 2130234691808 is an apocalyptic number.

130234691808 is a gapful number since it is divisible by the number (18) 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 130234691808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221666427360).

130234691808 is an abundant number, since it is smaller than the sum of its proper divisors (313098162912).

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

130234691808 is a wasteful number, since it uses less digits than its factorization.

130234691808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 130234691808 in words is "one hundred thirty billion, two hundred thirty-four million, six hundred ninety-one thousand, eight hundred eight".