Search a number
-
+
16440355264 = 261959922571
BaseRepresentation
bin11110100111110101…
…11110100111000000
31120102202102120122211
433103322332213000
5232132212332024
611315205511504
71121256466624
oct172372764700
946382376584
1016440355264
116a77174273
123229a12594
131720086c88
14b1d63d184
156634cb594
hex3d3ebe9c0

16440355264 has 56 divisors (see below), whose sum is σ = 34399728000. Its totient is φ = 7774191360.

The previous prime is 16440355259. The next prime is 16440355313. The reversal of 16440355264 is 46255304461.

It is a super-3 number, since 3×164403552643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717099 + ... + 739669.

Almost surely, 216440355264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16440355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199864000).

16440355264 is an abundant number, since it is smaller than the sum of its proper divisors (17959372736).

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

16440355264 is a wasteful number, since it uses less digits than its factorization.

16440355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23201 (or 23191 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 16440355264 in words is "sixteen billion, four hundred forty million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 599 608 1198 1216 2396 4792 9584 11381 19168 22571 22762 38336 45142 45524 90284 91048 180568 182096 361136 364192 428849 722272 728384 857698 1444544 1715396 3430792 6861584 13520029 13723168 27040058 27446336 54080116 108160232 216320464 256880551 432640928 513761102 865281856 1027522204 2055044408 4110088816 8220177632 16440355264