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67130396160 = 2935107151541
BaseRepresentation
bin111110100001010010…
…001000111000000000
320102021102200110102220
4332201102020320000
52044440340134120
650501141211040
74564360644462
oct764122107000
9212242613386
1067130396160
11265193a4253
1211015a00a80
13643aa8a009
14336b874132
151b2d727b40
hexfa1488e00

67130396160 has 320 divisors, whose sum is σ = 218450732544. Its totient is φ = 17584128000.

The previous prime is 67130396149. The next prime is 67130396189. The reversal of 67130396160 is 6169303176.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124085490 + ... + 124086030.

Almost surely, 267130396160 is an apocalyptic number.

67130396160 is a gapful number since it is divisible by the number (60) 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 67130396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109225366272).

67130396160 is an abundant number, since it is smaller than the sum of its proper divisors (151320336384).

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

67130396160 is a wasteful number, since it uses less digits than its factorization.

67130396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 67130396160 in words is "sixty-seven billion, one hundred thirty million, three hundred ninety-six thousand, one hundred sixty".