Search a number
-
+
16027121376 = 253571915497
BaseRepresentation
bin11101110110100101…
…00111011011100000
31112100221212010100000
432323102213123200
5230310420341001
611210204500000
71105111166250
oct167322473340
945327763300
1016027121376
11688498a562
12313354a600
131685590b96
14ac07d1960
1563c0a1a86
hex3bb4a76e0

16027121376 has 288 divisors, whose sum is σ = 56864021760. Its totient is φ = 4337888256.

The previous prime is 16027121347. The next prime is 16027121381. The reversal of 16027121376 is 67312172061.

It is a happy number.

16027121376 is a `hidden beast` number, since 1 + 602 + 7 + 12 + 1 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×160271213762 (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 self number, because there is not a number n which added to its sum of digits gives 16027121376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026460 + ... + 1041956.

It is an arithmetic number, because the mean of its divisors is an integer number (197444520).

Almost surely, 216027121376 is an apocalyptic number.

16027121376 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 16027121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28432010880).

16027121376 is an abundant number, since it is smaller than the sum of its proper divisors (40836900384).

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

16027121376 is a wasteful number, since it uses less digits than its factorization.

16027121376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 16027121376 in words is "sixteen billion, twenty-seven million, one hundred twenty-one thousand, three hundred seventy-six".