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2913016925952 = 283372315716673
BaseRepresentation
bin101010011000111101010…
…101101100111100000000
3101022111000011021021201000
4222120331111230330000
5340211324313112302
610110115502212000
7420313163220030
oct52307525547400
911274004237630
102913016925952
11a23449126821
123b068b584000
13181908a6a313
14a0dc29698c0
1550b931a131c
hex2a63d56cf00

2913016925952 has 576 divisors, whose sum is σ = 10339011164160. Its totient is φ = 790985834496.

The previous prime is 2913016925941. The next prime is 2913016925981. The reversal of 2913016925952 is 2595296103192.

2913016925952 is a `hidden beast` number, since 2 + 9 + 1 + 30 + 16 + 9 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×29130169259522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174706288 + ... + 174722960.

It is an arithmetic number, because the mean of its divisors is an integer number (17949672160).

Almost surely, 22913016925952 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 2913016925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169505582080).

2913016925952 is an abundant number, since it is smaller than the sum of its proper divisors (7425994238208).

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

2913016925952 is a wasteful number, since it uses less digits than its factorization.

2913016925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 2913016925952 in words is "two trillion, nine hundred thirteen billion, sixteen million, nine hundred twenty-five thousand, nine hundred fifty-two".