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10012387392 = 2632712719553
BaseRepresentation
bin10010101001100100…
…01110100001000000
3221211210001222102200
421110302032201000
5131001132344032
64333304113200
7503054613540
oct112462164100
927753058380
1010012387392
114278805927
121b35165800
13c374368a7
146ada69320
153d900847c
hex254c8e840

10012387392 has 168 divisors, whose sum is σ = 33058461696. Its totient is φ = 2838011904.

The previous prime is 10012387391. The next prime is 10012387397. The reversal of 10012387392 is 29378321001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10012387391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502288 + ... + 521840.

Almost surely, 210012387392 is an apocalyptic number.

10012387392 is a gapful number since it is divisible by the number (12) 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 10012387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529230848).

10012387392 is an abundant number, since it is smaller than the sum of its proper divisors (23046074304).

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

10012387392 is a wasteful number, since it uses less digits than its factorization.

10012387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19705 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

10012387392 divided by its sum of digits (36) gives a palindrome (278121872).

The spelling of 10012387392 in words is "ten billion, twelve million, three hundred eighty-seven thousand, three hundred ninety-two".