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9921045936 = 243206688457
BaseRepresentation
bin10010011110101011…
…10010010110110000
3221121102012100111210
421033111302112300
5130304241432221
64320242240120
7500565333114
oct111725622660
927542170453
109921045936
11423119871a
121b0a656040
13c215351a9
146a188d744
153d0eb4276
hex24f5725b0

9921045936 has 20 divisors (see below), whose sum is σ = 25629368792. Its totient is φ = 3307015296.

The previous prime is 9921045907. The next prime is 9921045943. The reversal of 9921045936 is 6395401299.

9921045936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 206688457 = 9921045936 / (9 + 9 + 2 + 1 + 0 + 4 + 5 + 9 + 3 + 6).

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 3 ways as a sum of consecutive naturals, for example, 103344181 + ... + 103344276.

Almost surely, 29921045936 is an apocalyptic number.

It is an amenable number.

9921045936 is an abundant number, since it is smaller than the sum of its proper divisors (15708322856).

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

9921045936 is a wasteful number, since it uses less digits than its factorization.

9921045936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206688468 (or 206688462 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 9921045936 is about 99604.4473705868. The cubic root of 9921045936 is about 2148.7496559785.

The spelling of 9921045936 in words is "nine billion, nine hundred twenty-one million, forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 206688457 413376914 620065371 826753828 1240130742 1653507656 2480261484 3307015312 4960522968 9921045936