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9904861632 = 263479107699
BaseRepresentation
bin10010011100110000…
…00011000111000000
3221120021202002211010
421032120003013000
5130241121033012
64314503320520
7500310635421
oct111630030700
927507662733
109904861632
114223044166
121b05150140
13c1b089793
1469d679648
153ce868c3c
hex24e6031c0

9904861632 has 56 divisors (see below), whose sum is σ = 26261568000. Its totient is φ = 3294697216.

The previous prime is 9904861627. The next prime is 9904861663. The reversal of 9904861632 is 2361684099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38119 + ... + 145817.

Almost surely, 29904861632 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 9904861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130784000).

9904861632 is an abundant number, since it is smaller than the sum of its proper divisors (16356706368).

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

9904861632 is a wasteful number, since it uses less digits than its factorization.

9904861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108193 (or 108183 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 9904861632 is about 99523.1713321074. The cubic root of 9904861632 is about 2147.5805942622.

The spelling of 9904861632 in words is "nine billion, nine hundred four million, eight hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 479 958 1437 1916 2874 3832 5748 7664 11496 15328 22992 30656 45984 91968 107699 215398 323097 430796 646194 861592 1292388 1723184 2584776 3446368 5169552 6892736 10339104 20678208 51587821 103175642 154763463 206351284 309526926 412702568 619053852 825405136 1238107704 1650810272 2476215408 3301620544 4952430816 9904861632