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25431510340 = 2254139778121
BaseRepresentation
bin10111101011110101…
…100000110101000100
32102122100212120201101
4113223311200311010
5404040431312330
615403313305444
71560134162005
oct275365406504
972570776641
1025431510340
11a870474145
124b18b65284
132523a5b392
1413337d11ac
159dca0c4ca
hex5ebd60d44

25431510340 has 48 divisors (see below), whose sum is σ = 54847268784. Its totient is φ = 9899366400.

The previous prime is 25431510311. The next prime is 25431510341. The reversal of 25431510340 is 4301513452.

It can be written as a sum of positive squares in 8 ways, for example, as 1429444864 + 24002065476 = 37808^2 + 154926^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25431510299 and 25431510308.

It is not an unprimeable number, because it can be changed into a prime (25431510341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286480 + ... + 364600.

It is an arithmetic number, because the mean of its divisors is an integer number (1142651433).

Almost surely, 225431510340 is an apocalyptic number.

25431510340 is a gapful number since it is divisible by the number (20) 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 25431510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423634392).

25431510340 is an abundant number, since it is smaller than the sum of its proper divisors (29415758444).

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

25431510340 is a wasteful number, since it uses less digits than its factorization.

25431510340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78568 (or 78566 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 25431510340 in words is "twenty-five billion, four hundred thirty-one million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 397 410 794 820 1588 1985 3970 7940 16277 32554 65108 78121 81385 156242 162770 312484 325540 390605 781210 1562420 3202961 6405922 12811844 16014805 31014037 32029610 62028074 64059220 124056148 155070185 310140370 620280740 1271575517 2543151034 5086302068 6357877585 12715755170 25431510340