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12952047744 = 27352983173
BaseRepresentation
bin11000001000000000…
…01001000010000000
31020102122120012100000
430010000021002000
5203011211011434
65541115200000
7635651406066
oct140400110200
936378505300
1012952047744
115547103199
122615746000
1312b548269c
148ac246036
1550c12db99
hex304009080

12952047744 has 384 divisors, whose sum is σ = 40699713600. Its totient is φ = 4094447616.

The previous prime is 12952047743. The next prime is 12952047749. The reversal of 12952047744 is 44774025921.

12952047744 is a `hidden beast` number, since 12 + 9 + 520 + 4 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×129520477443 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12952047744.

It is not an unprimeable number, because it can be changed into a prime (12952047743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74867242 + ... + 74867414.

Almost surely, 212952047744 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 12952047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349856800).

12952047744 is an abundant number, since it is smaller than the sum of its proper divisors (27747665856).

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

12952047744 is an equidigital number, since it uses as much as digits as its factorization.

12952047744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12952047744 in words is "twelve billion, nine hundred fifty-two million, forty-seven thousand, seven hundred forty-four".