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130518296832 = 2837113759651
BaseRepresentation
bin111100110001101111…
…1110010100100000000
3110110220001012110012210
41321203133302210000
54114300140444312
6135543112022120
712300236134560
oct1714337624400
9413801173183
10130518296832
11503971a3220
1221366391940
13c400394a51
146462264da0
1535dd5e2e3c
hex1e637f2900

130518296832 has 288 divisors, whose sum is σ = 444795853824. Its totient is φ = 32984064000.

The previous prime is 130518296801. The next prime is 130518296897. The reversal of 130518296832 is 238692815031.

It is a super-2 number, since 2×1305182968322 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158207 + ... + 2217857.

It is an arithmetic number, because the mean of its divisors is an integer number (1544430048).

Almost surely, 2130518296832 is an apocalyptic number.

130518296832 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 130518296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222397926912).

130518296832 is an abundant number, since it is smaller than the sum of its proper divisors (314277556992).

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

130518296832 is a wasteful number, since it uses less digits than its factorization.

130518296832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59725 (or 59711 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

It can be divided in two parts, 130518 and 296832, that added together give a triangular number (427350 = T924).

The spelling of 130518296832 in words is "one hundred thirty billion, five hundred eighteen million, two hundred ninety-six thousand, eight hundred thirty-two".