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9920183168 = 277106910357
BaseRepresentation
bin10010011110100100…
…11111101110000000
3221121100120112000102
421033102133232000
5130304031330133
64320211541532
7500555110550
oct111722375600
927540515012
109920183168
114230759495
121b0a2ba8a8
13c212c258c
146a1707160
153d0d937e8
hex24f49fb80

9920183168 has 64 divisors (see below), whose sum is σ = 22609442400. Its totient is φ = 4247119872.

The previous prime is 9920183137. The next prime is 9920183177. The reversal of 9920183168 is 8613810299.

9920183168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952646 + ... + 963002.

Almost surely, 29920183168 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 9920183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304721200).

9920183168 is an abundant number, since it is smaller than the sum of its proper divisors (12689259232).

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

9920183168 is a wasteful number, since it uses less digits than its factorization.

9920183168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 9920183168 is about 99600.1163051530. The cubic root of 9920183168 is about 2148.6873666393.

The spelling of 9920183168 in words is "nine billion, nine hundred twenty million, one hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1069 2138 4276 7483 8552 10357 14966 17104 20714 29932 34208 41428 59864 68416 72499 82856 119728 136832 144998 165712 239456 289996 331424 478912 579992 662848 957824 1159984 1325696 2319968 4639936 9279872 11071633 22143266 44286532 77501431 88573064 155002862 177146128 310005724 354292256 620011448 708584512 1240022896 1417169024 2480045792 4960091584 9920183168