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10116840384 = 2636730977
BaseRepresentation
bin10010110110000001…
…01011101111000000
3222010001121202000000
421123000223233000
5131204402343014
64351515000000
7505463503320
oct113300535700
928101552000
1010116840384
114321768a12
121b64139000
13c52c791b1
146bd899280
153e328c509
hex25b02bbc0

10116840384 has 196 divisors, whose sum is σ = 34400697264. Its totient is φ = 2890432512.

The previous prime is 10116840367. The next prime is 10116840397. The reversal of 10116840384 is 48304861101.

It is a happy number.

10116840384 is a `hidden beast` number, since 10 + 1 + 168 + 403 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 311104 + ... + 342080.

Almost surely, 210116840384 is an apocalyptic number.

10116840384 is a gapful number since it is divisible by the number (14) 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 10116840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200348632).

10116840384 is an abundant number, since it is smaller than the sum of its proper divisors (24283856880).

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

10116840384 is an frugal number, since it uses more digits than its factorization.

10116840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31014 (or 30989 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10116840384 in words is "ten billion, one hundred sixteen million, eight hundred forty thousand, three hundred eighty-four".