Search a number
-
+
16265890368 = 2633713273109
BaseRepresentation
bin11110010011000010…
…11100101001000000
31112222121010211211000
433021201130221000
5231303031442433
611250014252000
71114040533620
oct171141345100
945877124730
1016265890368
116997742202
12319b4b7000
1316c2ba0600
14b043c6880
15653018113
hex3c985ca40

16265890368 has 672 divisors, whose sum is σ = 60538156800. Its totient is φ = 4192321536.

The previous prime is 16265890351. The next prime is 16265890373. The reversal of 16265890368 is 86309856261.

It is a happy number.

16265890368 is a `hidden beast` number, since 1 + 6 + 26 + 589 + 0 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149228298 + ... + 149228406.

Almost surely, 216265890368 is an apocalyptic number.

16265890368 is a gapful number since it is divisible by the number (18) 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 16265890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30269078400).

16265890368 is an abundant number, since it is smaller than the sum of its proper divisors (44272266432).

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

16265890368 is a wasteful number, since it uses less digits than its factorization.

16265890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16265890368 in words is "sixteen billion, two hundred sixty-five million, eight hundred ninety thousand, three hundred sixty-eight".