Search a number
-
+
16264996020 = 2236571322341
BaseRepresentation
bin11110010010111100…
…00010010010110100
31112222112110102000000
433021132002102310
5231302314333040
611245543151300
71114030120320
oct171136022264
945875412000
1016264996020
116997191279
12319b145530
1316c2949500
14b04232980
15652ddd130
hex3c97824b4

16264996020 has 1008 divisors, whose sum is σ = 67744035072. Its totient is φ = 3202467840.

The previous prime is 16264996009. The next prime is 16264996039. The reversal of 16264996020 is 2069946261.

16264996020 is a `hidden beast` number, since 16 + 26 + 4 + 9 + 9 + 602 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 396707200 + ... + 396707240.

It is an arithmetic number, because the mean of its divisors is an integer number (67206384).

Almost surely, 216264996020 is an apocalyptic number.

16264996020 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 16264996020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33872017536).

16264996020 is an abundant number, since it is smaller than the sum of its proper divisors (51479039052).

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

16264996020 is a wasteful number, since it uses less digits than its factorization.

16264996020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 16264996020 in words is "sixteen billion, two hundred sixty-four million, nine hundred ninety-six thousand, twenty".