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9922612896 = 25327219231609
BaseRepresentation
bin10010011110110111…
…10000111010100000
3221121112010221222100
421033123300322200
5130310142103041
64320340010400
7500614550400
oct111733607240
927545127870
109922612896
114232068a29
121b0b090a00
13c219634a1
146a1b7a800
153d11c36b6
hex24f6f0ea0

9922612896 has 432 divisors, whose sum is σ = 36076622400. Its totient is φ = 2567448576.

The previous prime is 9922612879. The next prime is 9922612933. The reversal of 9922612896 is 6982162299.

It is a happy number.

9922612896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 6166140 + ... + 6167748.

It is an arithmetic number, because the mean of its divisors is an integer number (83510700).

Almost surely, 29922612896 is an apocalyptic number.

9922612896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9922612896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038311200).

9922612896 is an abundant number, since it is smaller than the sum of its proper divisors (26154009504).

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

9922612896 is a wasteful number, since it uses less digits than its factorization.

9922612896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1663 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 9922612896 is about 99612.3129738488. The cubic root of 9922612896 is about 2148.8627766962.

The spelling of 9922612896 in words is "nine billion, nine hundred twenty-two million, six hundred twelve thousand, eight hundred ninety-six".