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9874444320 = 2534513294347
BaseRepresentation
bin10010011001001000…
…00001000000100000
3221111011111202010000
421030210001000200
5130210324204240
64311455340000
7466461251256
oct111444010040
927434452100
109874444320
114207959194
121ab6b21600
13c14999880
146995dc5d6
153cbd5b430
hex24c901020

9874444320 has 960 divisors, whose sum is σ = 40571435520. Its totient is φ = 2243469312.

The previous prime is 9874444313. The next prime is 9874444399. The reversal of 9874444320 is 234444789.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 210094537 + ... + 210094583.

It is an arithmetic number, because the mean of its divisors is an integer number (42261912).

Almost surely, 29874444320 is an apocalyptic number.

9874444320 is a gapful number since it is divisible by the number (90) 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 9874444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285717760).

9874444320 is an abundant number, since it is smaller than the sum of its proper divisors (30696991200).

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

9874444320 is a wasteful number, since it uses less digits than its factorization.

9874444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 9874444320 is about 99370.2386029137. The cubic root of 9874444320 is about 2145.3799708307.

The spelling of 9874444320 in words is "nine billion, eight hundred seventy-four million, four hundred forty-four thousand, three hundred twenty".