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25427152416 = 2531715580363
BaseRepresentation
bin10111101011100100…
…111000111000100000
32102122001200011202210
4113223210320320200
5404033322334131
615403040042120
71560052141461
oct275344707040
972561604683
1025427152416
11a868a67a56
124b17603340
132522b93923
141332db8d68
159dc44b146
hex5eb938e20

25427152416 has 48 divisors (see below), whose sum is σ = 70672531104. Its totient is φ = 7977145344.

The previous prime is 25427152391. The next prime is 25427152417. The reversal of 25427152416 is 61425172452.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (25427152417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7788550 + ... + 7791813.

It is an arithmetic number, because the mean of its divisors is an integer number (1472344398).

Almost surely, 225427152416 is an apocalyptic number.

It is an amenable number.

25427152416 is an abundant number, since it is smaller than the sum of its proper divisors (45245378688).

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

25427152416 is a wasteful number, since it uses less digits than its factorization.

25427152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15580393 (or 15580385 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The spelling of 25427152416 in words is "twenty-five billion, four hundred twenty-seven million, one hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 15580363 31160726 46741089 62321452 93482178 124642904 186964356 249285808 264866171 373928712 498571616 529732342 747857424 794598513 1059464684 1495714848 1589197026 2118929368 3178394052 4237858736 6356788104 8475717472 12713576208 25427152416