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130548912109920 = 2536529379101833
BaseRepresentation
bin11101101011101111001001…
…100010000011100101100000
3122010020100120010222122000000
4131223233021202003211200
5114102403133000004140
61141353201533300000
736332563512515523
oct3553571142034540
9563210503878000
10130548912109920
1138662534534867
1212785306634600
1357ac92bc72025
14243485b446bba
151015d242cda30
hex76bbc9883960

130548912109920 has 672 divisors, whose sum is σ = 479633618570400. Its totient is φ = 33523576676352.

The previous prime is 130548912109829. The next prime is 130548912109951. The reversal of 130548912109920 is 29901219845031.

It is a happy number.

130548912109920 is a `hidden beast` number, since 1 + 3 + 0 + 548 + 9 + 1 + 2 + 1 + 0 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1281939324 + ... + 1282041156.

It is an arithmetic number, because the mean of its divisors is an integer number (713740503825).

Almost surely, 2130548912109920 is an apocalyptic number.

130548912109920 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 130548912109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239816809285200).

130548912109920 is an abundant number, since it is smaller than the sum of its proper divisors (349084706460480).

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

130548912109920 is a wasteful number, since it uses less digits than its factorization.

130548912109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102274 (or 102251 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 130548912109920 in words is "one hundred thirty trillion, five hundred forty-eight billion, nine hundred twelve million, one hundred nine thousand, nine hundred twenty".