Search a number
-
+
16189187040 = 25335131731547
BaseRepresentation
bin11110001001111001…
…10110001111100000
31112210020210220122000
433010330312033200
5231123412441130
611234234244000
71112116551015
oct170474661740
945706726560
1016189187040
116958412924
123179886600
1316b0025920
14ad813b70c
1564b416260
hex3c4f363e0

16189187040 has 768 divisors, whose sum is σ = 66816368640. Its totient is φ = 3622993920.

The previous prime is 16189187039. The next prime is 16189187051. The reversal of 16189187040 is 4078198161.

It is a happy number.

It is a super-2 number, since 2×161891870402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 29596047 + ... + 29596593.

It is an arithmetic number, because the mean of its divisors is an integer number (87000480).

Almost surely, 216189187040 is an apocalyptic number.

16189187040 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 16189187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408184320).

16189187040 is an abundant number, since it is smaller than the sum of its proper divisors (50627181600).

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

16189187040 is a wasteful number, since it uses less digits than its factorization.

16189187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 16189187040 in words is "sixteen billion, one hundred eighty-nine million, one hundred eighty-seven thousand, forty".