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25438974016 = 26199372
BaseRepresentation
bin10111101100010001…
…111111000001000000
32102122212220202221211
4113230101333001000
5404044334132031
615404141255504
71560254466001
oct275421770100
972585822854
1025438974016
11a874701775
124b1b564594
132525472661
1413347b51a8
159dd4d3bb1
hex5ec47f040

25438974016 has 21 divisors (see below), whose sum is σ = 50482996189. Its totient is φ = 12718849024.

The previous prime is 25438974013. The next prime is 25438974019. The reversal of 25438974016 is 61047983452.

It is a happy number.

The square root of 25438974016 is 159496.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (25438974013) and next prime (25438974019).

It can be written as a sum of positive squares in only one way, i.e., 4499726400 + 20939247616 = 67080^2 + 144704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25438974013) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1266000 + ... + 1285936.

It is a 1-persistent number, because it is pandigital, but 2⋅25438974016 = 50877948032 is not.

Almost surely, 225438974016 is an apocalyptic number.

25438974016 is the 159496-th square number.

It is an amenable number.

25438974016 is a deficient number, since it is larger than the sum of its proper divisors (25044022173).

25438974016 is an frugal number, since it uses more digits than its factorization.

25438974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39886 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 25438974016 by its sum of digits (49), we get a square (1246509726784 = 11164722).

The spelling of 25438974016 in words is "twenty-five billion, four hundred thirty-eight million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 19937 39874 79748 159496 318992 637984 1275968 397483969 794967938 1589935876 3179871752 6359743504 12719487008 25438974016