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25113623440 = 2451372291389
BaseRepresentation
bin10111011000111000…
…110111101110010000
32101211012201020212111
4113120320313232100
5402413041422230
615312000035104
71546224164023
oct273070675620
971735636774
1025113623440
11a717a92aa4
124a4a602a94
1324a2c39c19
1413034c31ba
159beb6892a
hex5d8e37b90

25113623440 has 40 divisors (see below), whose sum is σ = 58815398520. Its totient is φ = 9972120576.

The previous prime is 25113623429. The next prime is 25113623443. The reversal of 25113623440 is 4432631152.

It can be written as a sum of positive squares in 4 ways, for example, as 7566912144 + 17546711296 = 86988^2 + 132464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×251136234402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25113623443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134735 + ... + 1156654.

It is an arithmetic number, because the mean of its divisors is an integer number (1470384963).

Almost surely, 225113623440 is an apocalyptic number.

25113623440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25113623440 is an abundant number, since it is smaller than the sum of its proper divisors (33701775080).

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

25113623440 is a wasteful number, since it uses less digits than its factorization.

25113623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291539 (or 2291533 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

It can be divided in two parts, 251136 and 23440, that added together give a square (274576 = 5242).

The spelling of 25113623440 in words is "twenty-five billion, one hundred thirteen million, six hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 2291389 4582778 9165556 11456945 18331112 22913890 36662224 45827780 91655560 183311120 313920293 627840586 1255681172 1569601465 2511362344 3139202930 5022724688 6278405860 12556811720 25113623440