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9873813690 = 232513174671063
BaseRepresentation
bin10010011001000011…
…00111000010111010
3221111010022201001100
421030201213002322
5130210144014230
64311434032230
7466453013556
oct111441470272
927433281040
109873813690
114207568404
121ab6878676
13c14808810
146994b6866
153cbc84660
hex24c8670ba

9873813690 has 192 divisors, whose sum is σ = 29363233536. Its totient is φ = 2280462336.

The previous prime is 9873813661. The next prime is 9873813737. The reversal of 9873813690 is 963183789.

It is a super-2 number, since 2×98738136902 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9288099 + ... + 9289161.

It is an arithmetic number, because the mean of its divisors is an integer number (152933508).

Almost surely, 29873813690 is an apocalyptic number.

9873813690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9873813690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681616768).

9873813690 is an abundant number, since it is smaller than the sum of its proper divisors (19489419846).

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

9873813690 is a wasteful number, since it uses less digits than its factorization.

9873813690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9873813690 is about 99367.0654190814. The cubic root of 9873813690 is about 2145.3342983949.

The spelling of 9873813690 in words is "nine billion, eight hundred seventy-three million, eight hundred thirteen thousand, six hundred ninety".