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130879901152 = 257111310613851
BaseRepresentation
bin111100111100100001…
…1001100110111100000
3110111211020121212002101
41321321003030313200
54121020223314102
6140043030300144
712312216542560
oct1717103146740
9414736555071
10130879901152
1150562323970
12214474b7654
13c45a281ac0
1464982b2da0
15361021ee87
hex1e790ccde0

130879901152 has 192 divisors, whose sum is σ = 346378249728. Its totient is φ = 47013120000.

The previous prime is 130879901147. The next prime is 130879901221. The reversal of 130879901152 is 251109978031.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33984027 + ... + 33987877.

It is an arithmetic number, because the mean of its divisors is an integer number (1804053384).

Almost surely, 2130879901152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130879901152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173189124864).

130879901152 is an abundant number, since it is smaller than the sum of its proper divisors (215498348576).

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

130879901152 is a wasteful number, since it uses less digits than its factorization.

130879901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 130879901152 in words is "one hundred thirty billion, eight hundred seventy-nine million, nine hundred one thousand, one hundred fifty-two".