Search a number
-
+
16197015744 = 2633713177383
BaseRepresentation
bin11110001010110101…
…01101100011000000
31112210210112122121000
433011122231203000
5231132414000434
611235114132000
71112243235150
oct170532554300
945723478530
1016197015744
11696187a728
123180421000
1316b18370b0
14ad91b8760
1564be60b99
hex3c56ad8c0

16197015744 has 896 divisors, whose sum is σ = 63659796480. Its totient is φ = 3917611008.

The previous prime is 16197015743. The next prime is 16197015767. The reversal of 16197015744 is 44751079161.

16197015744 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 70 + 1 + 574 + 4 = 666.

It is a super-2 number, since 2×161970157442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16197015744.

It is not an unprimeable number, because it can be changed into a prime (16197015743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195144727 + ... + 195144809.

It is an arithmetic number, because the mean of its divisors is an integer number (71048880).

Almost surely, 216197015744 is an apocalyptic number.

16197015744 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 16197015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31829898240).

16197015744 is an abundant number, since it is smaller than the sum of its proper divisors (47462780736).

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

16197015744 is a wasteful number, since it uses less digits than its factorization.

16197015744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 16197015744 in words is "sixteen billion, one hundred ninety-seven million, fifteen thousand, seven hundred forty-four".