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9920416912 = 2472173720117
BaseRepresentation
bin10010011110100110…
…11000110010010000
3221121101000101122121
421033103120302100
5130304111320122
64320220544024
7500560103200
oct111723306220
927541011577
109920416912
1142308a906a
121b0a3b2014
13c21374aa3
146a1768400
153d0ddcbc7
hex24f4d8c90

9920416912 has 120 divisors (see below), whose sum is σ = 24315178104. Its totient is φ = 3893170176.

The previous prime is 9920416903. The next prime is 9920416927. The reversal of 9920416912 is 2196140299.

It can be written as a sum of positive squares in 4 ways, for example, as 3272297616 + 6648119296 = 57204^2 + 81536^2 .

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, 483078 + ... + 503194.

Almost surely, 29920416912 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 9920416912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157589052).

9920416912 is an abundant number, since it is smaller than the sum of its proper divisors (14394761192).

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

9920416912 is a wasteful number, since it uses less digits than its factorization.

9920416912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193 (or 20180 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9920416912 is about 99601.2897105253. The cubic root of 9920416912 is about 2148.7042426327.

The spelling of 9920416912 in words is "nine billion, nine hundred twenty million, four hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 49 56 68 74 98 112 119 136 148 196 238 259 272 296 392 476 518 592 629 784 833 952 1036 1258 1666 1813 1904 2072 2516 3332 3626 4144 4403 5032 6664 7252 8806 10064 13328 14504 17612 20117 29008 30821 35224 40234 61642 70448 80468 123284 140819 160936 246568 281638 321872 341989 493136 563276 683978 744329 985733 1126552 1367956 1488658 1971466 2253104 2393923 2735912 2977316 3942932 4787846 5210303 5471824 5954632 7885864 9575692 10420606 11909264 12653593 15771728 16757461 19151384 20841212 25307186 33514922 36472121 38302768 41682424 50614372 67029844 72944242 83364848 88575151 101228744 134059688 145888484 177150302 202457488 268119376 291776968 354300604 583553936 620026057 708601208 1240052114 1417202416 2480104228 4960208456 9920416912