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10025192632 = 23721313914153
BaseRepresentation
bin10010101011000110…
…00100110010111000
3221212200011112220211
421111203010302320
5131012422131012
64334442400504
7503301505600
oct112543046270
927780145824
1010025192632
114284a61674
121b39500134
13c39c9b260
146b163dc00
153da1d76a7
hex2558c4cb8

10025192632 has 96 divisors (see below), whose sum is σ = 23719273200. Its totient is φ = 3937199616.

The previous prime is 10025192627. The next prime is 10025192651. The reversal of 10025192632 is 23629152001.

It is a junction number, because it is equal to n+sod(n) for n = 10025192594 and 10025192603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701268 + ... + 715420.

Almost surely, 210025192632 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 10025192632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859636600).

10025192632 is an abundant number, since it is smaller than the sum of its proper divisors (13694080568).

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

10025192632 is a wasteful number, since it uses less digits than its factorization.

10025192632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14314 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 10025192632 in words is "ten billion, twenty-five million, one hundred ninety-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 139 182 196 278 364 392 556 637 728 973 1112 1274 1807 1946 2548 3614 3892 5096 6811 7228 7784 12649 13622 14153 14456 25298 27244 28306 50596 54488 56612 88543 99071 101192 113224 177086 183989 198142 354172 367978 396284 693497 708344 735956 792568 1287923 1386994 1471912 1967267 2575846 2773988 3934534 5151692 5547976 7869068 9015461 10303384 13770869 15738136 18030922 25574471 27541738 36061844 51148942 55083476 72123688 96396083 102297884 110166952 179021297 192792166 204595768 358042594 385584332 716085188 771168664 1253149079 1432170376 2506298158 5012596316 10025192632