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12909469440 = 2835721923157
BaseRepresentation
bin11000000010111011…
…01101111100000000
31020022200102222212210
430001131231330000
5202414311010230
65532554422120
7634623452100
oct140135557400
936280388783
1012909469440
11552507150a
122603431940
1312a96c541a
148a6721200
1550851ceb0
hex30176df00

12909469440 has 864 divisors, whose sum is σ = 53015800320. Its totient is φ = 2656862208.

The previous prime is 12909469411. The next prime is 12909469477. The reversal of 12909469440 is 4496490921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12909469440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82225842 + ... + 82225998.

It is an arithmetic number, because the mean of its divisors is an integer number (61360880).

Almost surely, 212909469440 is an apocalyptic number.

12909469440 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 12909469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507900160).

12909469440 is an abundant number, since it is smaller than the sum of its proper divisors (40106330880).

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

12909469440 is a wasteful number, since it uses less digits than its factorization.

12909469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 12909469440 in words is "twelve billion, nine hundred nine million, four hundred sixty-nine thousand, four hundred forty".