Search a number
-
+
188942713344 = 29337111391277
BaseRepresentation
bin1010111111110111011…
…1010000001000000000
3200001200202001022202000
42233331313100020000
511043423313311334
6222444334024000
716436114364450
oct2577567201000
9601622038660
10188942713344
1173148266070
1230750648000
1314a815878c8
14920577bd60
154dac86b299
hex2bfddd0200

188942713344 has 640 divisors, whose sum is σ = 702855014400. Its totient is φ = 48684810240.

The previous prime is 188942713321. The next prime is 188942713373. The reversal of 188942713344 is 443317249881.

188942713344 is a `hidden beast` number, since 1 + 8 + 89 + 427 + 133 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147957634 + ... + 147958910.

It is an arithmetic number, because the mean of its divisors is an integer number (1098210960).

Almost surely, 2188942713344 is an apocalyptic number.

188942713344 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 188942713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351427507200).

188942713344 is an abundant number, since it is smaller than the sum of its proper divisors (513912301056).

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

188942713344 is a wasteful number, since it uses less digits than its factorization.

188942713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1439 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 188942713344 in words is "one hundred eighty-eight billion, nine hundred forty-two million, seven hundred thirteen thousand, three hundred forty-four".