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25131026432 = 2113121132
BaseRepresentation
bin10111011001111011…
…010000100000000000
32101212102110102021202
4113121323100200000
5402432020321212
615313421040332
71546525125431
oct273173204000
971772412252
1025131026432
11a72689a136
124a543b60a8
1324a6721255
141305933488
159c14550c2
hex5d9ed0800

25131026432 has 108 divisors (see below), whose sum is σ = 52386593805. Its totient is φ = 12052561920.

The previous prime is 25131026411. The next prime is 25131026491. The reversal of 25131026432 is 23462013152.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15871968256 + 9259058176 = 125984^2 + 96224^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=112096.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25131026395 and 25131026404.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222398408 + ... + 222398520.

Almost surely, 225131026432 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 25131026432

25131026432 is an abundant number, since it is smaller than the sum of its proper divisors (27255567373).

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

25131026432 is an frugal number, since it uses more digits than its factorization.

25131026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 25131026432 its reverse (23462013152), we get a palindrome (48593039584).

The spelling of 25131026432 in words is "twenty-five billion, one hundred thirty-one million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 128 226 248 256 452 496 512 904 961 992 1024 1808 1922 1984 2048 3503 3616 3844 3968 7006 7232 7688 7936 12769 14012 14464 15376 15872 25538 28024 28928 30752 31744 51076 56048 57856 61504 63488 102152 108593 112096 115712 123008 204304 217186 224192 231424 246016 395839 408608 434372 448384 492032 791678 817216 868744 896768 984064 1583356 1634432 1737488 1793536 1968128 3166712 3268864 3474976 3587072 6333424 6537728 6949952 7174144 12271009 12666848 13075456 13899904 24542018 25333696 26150912 27799808 49084036 50667392 55599616 98168072 101334784 111199232 196336144 202669568 222398464 392672288 405339136 785344576 810678272 1570689152 3141378304 6282756608 12565513216 25131026432