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9812465712 = 2434723313741
BaseRepresentation
bin10010010001101111…
…00101100000110000
3221022211212220110000
421020313211200300
5130043442400322
64301403110000
7465106403520
oct111067454060
927284786400
109812465712
1141859767a5
121a9a212300
13c04ba913a
146912a7680
153c66b73ac
hex248de5830

9812465712 has 800 divisors, whose sum is σ = 36781645824. Its totient is φ = 2463436800.

The previous prime is 9812465701. The next prime is 9812465713. The reversal of 9812465712 is 2175642189.

Its product of digits (241920) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9812465713) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 239328412 + ... + 239328452.

Almost surely, 29812465712 is an apocalyptic number.

9812465712 is a gapful number since it is divisible by the number (92) 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 9812465712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390822912).

9812465712 is an abundant number, since it is smaller than the sum of its proper divisors (26969180112).

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

9812465712 is a wasteful number, since it uses less digits than its factorization.

9812465712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9812465712 is about 99057.8907104326. The cubic root of 9812465712 is about 2140.8819342146.

The spelling of 9812465712 in words is "nine billion, eight hundred twelve million, four hundred sixty-five thousand, seven hundred twelve".