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10125253614 = 2372323531291
BaseRepresentation
bin10010110111000001…
…10001101111101110
3222010122110011210010
421123200301233232
5131214031103424
64352415154050
7505625143560
oct113340615756
928118404703
1010125253614
1143264949a3
121b66b15926
13c54933738
146c0a49330
153e3da0229
hex25b831bee

10125253614 has 96 divisors (see below), whose sum is σ = 24280752384. Its totient is φ = 2757173760.

The previous prime is 10125253583. The next prime is 10125253639. The reversal of 10125253614 is 41635252101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7842309 + ... + 7843599.

It is an arithmetic number, because the mean of its divisors is an integer number (252924504).

Almost surely, 210125253614 is an apocalyptic number.

10125253614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125253614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140376192).

10125253614 is an abundant number, since it is smaller than the sum of its proper divisors (14155498770).

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

10125253614 is a wasteful number, since it uses less digits than its factorization.

10125253614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10125253614 in words is "ten billion, one hundred twenty-five million, two hundred fifty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 353 483 529 706 966 1058 1059 1291 1587 2118 2471 2582 3174 3703 3873 4942 7406 7413 7746 8119 9037 11109 14826 16238 18074 22218 24357 27111 29693 48714 54222 56833 59386 89079 113666 170499 178158 186737 207851 340998 373474 415702 455723 560211 623553 682939 911446 1120422 1247106 1307159 1365878 1367169 2048817 2614318 2734338 3190061 3921477 4097634 4780573 6380122 7842954 9561146 9570183 10481629 14341719 19140366 20963258 28683438 31444887 62889774 73371403 146742806 220114209 241077467 440228418 482154934 723232401 1446464802 1687542269 3375084538 5062626807 10125253614