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10119846912 = 210372233779
BaseRepresentation
bin10010110110011000…
…01001110000000000
3222010021021111011220
421123030021300000
5131211140100122
64352103235040
7505531164600
oct113314116000
928107244156
1010119846912
11432343184a
121b65148a80
13c5378c7c6
146c003cc00
153e368325c
hex25b309c00

10119846912 has 528 divisors, whose sum is σ = 34051599360. Its totient is φ = 2656862208.

The previous prime is 10119846907. The next prime is 10119846941. The reversal of 10119846912 is 21964891101.

It is a super-2 number, since 2×101198469122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128099289 + ... + 128099367.

Almost surely, 210119846912 is an apocalyptic number.

10119846912 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 10119846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025799680).

10119846912 is an abundant number, since it is smaller than the sum of its proper divisors (23931752448).

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

10119846912 is a wasteful number, since it uses less digits than its factorization.

10119846912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 10119846912 in words is "ten billion, one hundred nineteen million, eight hundred forty-six thousand, nine hundred twelve".