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9812893860 = 22325731114449
BaseRepresentation
bin10010010001110010…
…01110000010100100
3221022212200122202100
421020321032002210
5130044100100420
64301420212100
7465113136000
oct111071160244
927285618670
109812893860
114186139440
121a9a39a030
13c04cc8c93
14691379700
153c674e190
hex248e4e0a4

9812893860 has 288 divisors, whose sum is σ = 37870560000. Its totient is φ = 2038901760.

The previous prime is 9812893847. The next prime is 9812893877. The reversal of 9812893860 is 683982189.

It is a happy number.

It is a super-3 number, since 3×98128938603 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9812893797 and 9812893806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671916 + ... + 686364.

It is an arithmetic number, because the mean of its divisors is an integer number (131495000).

Almost surely, 29812893860 is an apocalyptic number.

9812893860 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 9812893860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935280000).

9812893860 is an abundant number, since it is smaller than the sum of its proper divisors (28057666140).

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

9812893860 is a wasteful number, since it uses less digits than its factorization.

9812893860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 9812893860 is about 99060.0517867823. The cubic root of 9812893860 is about 2140.9130715119.

The spelling of 9812893860 in words is "nine billion, eight hundred twelve million, eight hundred ninety-three thousand, eight hundred sixty".