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16630253640 = 233357111315383
BaseRepresentation
bin11110111110011110…
…11000100001001000
31120220222202102021000
433133033120201020
5233024321104030
611350112015000
71126053552330
oct173717304110
946828672230
1016630253640
117064387780
123281531460
131750515390
14b3a9520c0
15674edc860
hex3df3d8848

16630253640 has 512 divisors, whose sum is σ = 74433945600. Its totient is φ = 3189611520.

The previous prime is 16630253639. The next prime is 16630253659. The reversal of 16630253640 is 4635203661.

16630253640 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 0 + 2 + 5 + 3 + 640 = 666.

It is a super-2 number, since 2×166302536402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16630253595 and 16630253604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1073389 + ... + 1088771.

It is an arithmetic number, because the mean of its divisors is an integer number (145378800).

Almost surely, 216630253640 is an apocalyptic number.

16630253640 is a gapful number since it is divisible by the number (10) 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 16630253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37216972800).

16630253640 is an abundant number, since it is smaller than the sum of its proper divisors (57803691960).

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

16630253640 is a wasteful number, since it uses less digits than its factorization.

16630253640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15434 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 16630253640 in words is "sixteen billion, six hundred thirty million, two hundred fifty-three thousand, six hundred forty".