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10025375272 = 23115310720089
BaseRepresentation
bin10010101011000111…
…10001011000101000
3221212200111211110021
421111203301120220
5131012444002042
64334450330224
7503303166223
oct112543613050
927780454407
1010025375272
114285076910
121b39589974
13c3a033423
146b168a5ba
153da221867
hex2558f1628

10025375272 has 64 divisors (see below), whose sum is σ = 21089678400. Its totient is φ = 4429002240.

The previous prime is 10025375249. The next prime is 10025375273. The reversal of 10025375272 is 27257352001.

It is not an unprimeable number, because it can be changed into a prime (10025375273) 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, 489004 + ... + 509092.

It is an arithmetic number, because the mean of its divisors is an integer number (329526225).

Almost surely, 210025375272 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 10025375272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544839200).

10025375272 is an abundant number, since it is smaller than the sum of its proper divisors (11064303128).

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

10025375272 is a wasteful number, since it uses less digits than its factorization.

10025375272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20266 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 10025375272 in words is "ten billion, twenty-five million, three hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 107 212 214 424 428 583 856 1166 1177 2332 2354 4664 4708 5671 9416 11342 20089 22684 40178 45368 62381 80356 124762 160712 220979 249524 441958 499048 883916 1064717 1767832 2129434 2149523 4258868 4299046 8517736 8598092 11711887 17196184 23423774 23644753 46847548 47289506 93695096 94579012 113924719 189158024 227849438 455698876 911397752 1253171909 2506343818 5012687636 10025375272