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25004920672 = 25231012631279
BaseRepresentation
bin10111010010011010…
…001100111101100000
32101112122011120201001
4113102122030331200
5402202224430142
615253114121344
71543434214234
oct272232147540
971478146631
1025004920672
11a671697aa6
124a1a120254
13248656a164
1412d2ca85c4
159b53455b7
hex5d268cf60

25004920672 has 96 divisors (see below), whose sum is σ = 52115374080. Its totient is φ = 11786227200.

The previous prime is 25004920643. The next prime is 25004920693. The reversal of 25004920672 is 27602940052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19549729 + ... + 19551007.

It is an arithmetic number, because the mean of its divisors is an integer number (542868480).

Almost surely, 225004920672 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 25004920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26057687040).

25004920672 is an abundant number, since it is smaller than the sum of its proper divisors (27110453408).

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

25004920672 is a wasteful number, since it uses less digits than its factorization.

25004920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 25004920672 in words is "twenty-five billion, four million, nine hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 101 184 202 263 368 404 526 736 808 1052 1279 1616 2104 2323 2558 3232 4208 4646 5116 6049 8416 9292 10232 12098 18584 20464 24196 26563 29417 37168 40928 48392 53126 58834 74336 96784 106252 117668 129179 193568 212504 235336 258358 336377 425008 470672 516716 610949 672754 850016 941344 1033432 1221898 1345508 2066864 2443796 2691016 2971117 4133728 4887592 5382032 5942234 7736671 9775184 10764064 11884468 15473342 19550368 23768936 30946684 33974077 47537872 61893368 67948154 95075744 123786736 135896308 247573472 271792616 543585232 781403771 1087170464 1562807542 3125615084 6251230168 12502460336 25004920672