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9925660152 = 2332415956989
BaseRepresentation
bin10010011111001110…
…11000110111111000
3221121201212210000200
421033213120313320
5130311432111102
64320525202200
7500652501462
oct111747306770
927551783020
109925660152
11423385a421
121b10100360
13c2248c4b5
146a2331132
153d15c651c
hex24f9d8df8

9925660152 has 96 divisors (see below), whose sum is σ = 28004886000. Its totient is φ = 3173091840.

The previous prime is 9925660141. The next prime is 9925660159. The reversal of 9925660152 is 2510665299.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9925660098 and 9925660107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925660159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145674 + ... + 202662.

Almost surely, 29925660152 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 9925660152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002443000).

9925660152 is an abundant number, since it is smaller than the sum of its proper divisors (18079225848).

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

9925660152 is a wasteful number, since it uses less digits than its factorization.

9925660152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57101 (or 57094 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9925660152 is about 99627.6073786779. The cubic root of 9925660152 is about 2149.0827276593.

The spelling of 9925660152 in words is "nine billion, nine hundred twenty-five million, six hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 472 492 531 708 738 984 1062 1416 1476 2124 2419 2952 4248 4838 7257 9676 14514 19352 21771 29028 43542 56989 58056 87084 113978 170967 174168 227956 341934 455912 512901 683868 1025802 1367736 2051604 2336549 3362351 4103208 4673098 6724702 7009647 9346196 10087053 13449404 14019294 18692392 20174106 21028941 26898808 28038588 30261159 40348212 42057882 56077176 60522318 80696424 84115764 121044636 137856391 168231528 242089272 275712782 413569173 551425564 827138346 1102851128 1240707519 1654276692 2481415038 3308553384 4962830076 9925660152