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12964120470 = 23757194457
BaseRepresentation
bin11000001001011100…
…01100011110010110
31020110111021120000000
430010232030132112
5203022303323340
65542230032130
7636156130410
oct140456143626
936414246000
1012964120470
1155529a9654
1226197a8646
1312b7b1b802
148adaa99b0
1550d215d30
hex304b8c796

12964120470 has 256 divisors, whose sum is σ = 42112051200. Its totient is φ = 2806638336.

The previous prime is 12964120417. The next prime is 12964120487. The reversal of 12964120470 is 7402146921.

It is a happy number.

12964120470 is a `hidden beast` number, since 1 + 2 + 9 + 64 + 120 + 470 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2906482 + ... + 2910938.

It is an arithmetic number, because the mean of its divisors is an integer number (164500200).

Almost surely, 212964120470 is an apocalyptic number.

12964120470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12964120470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056025600).

12964120470 is an abundant number, since it is smaller than the sum of its proper divisors (29147930730).

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

12964120470 is an equidigital number, since it uses as much as digits as its factorization.

12964120470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12964120470 in words is "twelve billion, nine hundred sixty-four million, one hundred twenty thousand, four hundred seventy".