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16163387136 = 2833132101137
BaseRepresentation
bin11110000110110100…
…11011011100000000
31112201110021010211000
433003122123130000
5231100311342021
611231513252000
71111354344441
oct170332333400
945643233730
1016163387136
1169448a0a96
123171104000
1316a7891600
14ad49432c8
1564901bb26
hex3c369b700

16163387136 has 432 divisors, whose sum is σ = 52651559520. Its totient is φ = 4888166400.

The previous prime is 16163387131. The next prime is 16163387183. The reversal of 16163387136 is 63178336161.

16163387136 is a `hidden beast` number, since 1 + 6 + 1 + 633 + 8 + 7 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×161633871362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16163387091 and 16163387100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16163387131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117980860 + ... + 117980996.

It is an arithmetic number, because the mean of its divisors is an integer number (121878610).

Almost surely, 216163387136 is an apocalyptic number.

16163387136 is a gapful number since it is divisible by the number (16) 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 16163387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26325779760).

16163387136 is an abundant number, since it is smaller than the sum of its proper divisors (36488172384).

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

16163387136 is a wasteful number, since it uses less digits than its factorization.

16163387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 16163387136 in words is "sixteen billion, one hundred sixty-three million, three hundred eighty-seven thousand, one hundred thirty-six".