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130863774720 = 210357359421
BaseRepresentation
bin111100111100000010…
…1101011110000000000
3110111210010021112210010
41321320011223300000
54121002111242340
6140041252504520
712311632506000
oct1717005536000
9414703245703
10130863774720
1150554209938
122144201b140
13c456b26833
1464960b6000
15360dad6b80
hex1e7816bc00

130863774720 has 704 divisors, whose sum is σ = 497568384000. Its totient is φ = 29334896640.

The previous prime is 130863774709. The next prime is 130863774739. The reversal of 130863774720 is 27477368031.

It is a super-2 number, since 2×1308637747202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130863774720.

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, 310840110 + ... + 310840530.

Almost surely, 2130863774720 is an apocalyptic number.

130863774720 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 130863774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248784192000).

130863774720 is an abundant number, since it is smaller than the sum of its proper divisors (366704609280).

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

130863774720 is an equidigital number, since it uses as much as digits as its factorization.

130863774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 130863774720 in words is "one hundred thirty billion, eight hundred sixty-three million, seven hundred seventy-four thousand, seven hundred twenty".