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9984960252 = 22323110878231
BaseRepresentation
bin10010100110010011…
…00110011011111100
3221202212110112110200
421103021212123330
5130422122212002
64330444203500
7502302522201
oct112311463374
927685415420
109984960252
114264282473
121b27b39590
13c31852a07
146aa169ca8
153d68dbb1c
hex2532666fc

9984960252 has 72 divisors (see below), whose sum is σ = 26081083392. Its totient is φ = 3217600800.

The previous prime is 9984960247. The next prime is 9984960263. The reversal of 9984960252 is 2520694899.

It is a happy number.

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, 1208977 + ... + 1217207.

Almost surely, 29984960252 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 9984960252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040541696).

9984960252 is an abundant number, since it is smaller than the sum of its proper divisors (16096123140).

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

9984960252 is a wasteful number, since it uses less digits than its factorization.

9984960252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9984960252 is about 99924.7729644656. The cubic root of 9984960252 is about 2153.3540762847.

The spelling of 9984960252 in words is "nine billion, nine hundred eighty-four million, nine hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1087 1116 2174 3261 4348 6522 8231 9783 13044 16462 19566 24693 32924 33697 39132 49386 67394 74079 98772 101091 134788 148158 202182 255161 296316 303273 404364 510322 606546 765483 1020644 1213092 1530966 2296449 3061932 4592898 8947097 9185796 17894194 26841291 35788388 53682582 80523873 107365164 161047746 277360007 322095492 554720014 832080021 1109440028 1664160042 2496240063 3328320084 4992480126 9984960252