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9920632104 = 2332378344867
BaseRepresentation
bin10010011110101000…
…01101010100101000
3221121101102022211200
421033110031110220
5130304140211404
64320225324200
7500561660445
oct111724152450
927541368750
109920632104
114230a35809
121b0a496660
13c2141ba16
146a17c29cc
153d0e31839
hex24f50d528

9920632104 has 96 divisors (see below), whose sum is σ = 27927637920. Its totient is φ = 3178666368.

The previous prime is 9920632103. The next prime is 9920632109. The reversal of 9920632104 is 4012360299.

9920632104 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 632 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9920632103) 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, 198679 + ... + 243545.

It is an arithmetic number, because the mean of its divisors is an integer number (290912895).

Almost surely, 29920632104 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 9920632104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963818960).

9920632104 is an abundant number, since it is smaller than the sum of its proper divisors (18007005816).

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

9920632104 is a wasteful number, since it uses less digits than its factorization.

9920632104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44999 (or 44992 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9920632104 is about 99602.3699718034. The cubic root of 9920632104 is about 2148.7197789629.

The spelling of 9920632104 in words is "nine billion, nine hundred twenty million, six hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 83 111 148 166 222 249 296 332 333 444 498 664 666 747 888 996 1332 1494 1992 2664 2988 3071 5976 6142 9213 12284 18426 24568 27639 36852 44867 55278 73704 89734 110556 134601 179468 221112 269202 358936 403803 538404 807606 1076808 1615212 1660079 3230424 3320158 3723961 4980237 6640316 7447922 9960474 11171883 13280632 14895844 14940711 19920948 22343766 29791688 29881422 33515649 39841896 44687532 59762844 67031298 89375064 119525688 134062596 137786557 268125192 275573114 413359671 551146228 826719342 1102292456 1240079013 1653438684 2480158026 3306877368 4960316052 9920632104