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16322106564 = 223210721992
BaseRepresentation
bin11110011001101111…
…11001010011000100
31120010111220220221100
433030313321103010
5231411424402224
611255343220100
71115322421341
oct171467712304
946114826840
1016322106564
116a16449275
1231b62a7630
13170172422a
14b0ba5b7c8
15657e1eac9
hex3ccdf94c4

16322106564 has 81 divisors (see below), whose sum is σ = 41858194287. Its totient is φ = 5362769808.

The previous prime is 16322106533. The next prime is 16322106583. The reversal of 16322106564 is 46560122361.

The square root of 16322106564 is 127758.

It is a perfect power (a square), and thus also a powerful number.

16322106564 is a `hidden beast` number, since 1 + 63 + 22 + 10 + 6 + 564 = 666.

It is a super-2 number, since 2×163221065642 (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 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 26 ways as a sum of consecutive naturals, for example, 82020537 + ... + 82020735.

Almost surely, 216322106564 is an apocalyptic number.

16322106564 is the 127758-th square number.

It is an amenable number.

16322106564 is an abundant number, since it is smaller than the sum of its proper divisors (25536087723).

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

16322106564 is a wasteful number, since it uses less digits than its factorization.

16322106564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 16322106564 by its sum of digits (36), we get a square (587595836304 = 7665482).

16322106564 divided by its sum of digits (36) gives a square (453391849 = 212932).

The spelling of 16322106564 in words is "sixteen billion, three hundred twenty-two million, one hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 199 214 321 398 428 597 642 796 963 1194 1284 1791 1926 2388 3582 3852 7164 11449 21293 22898 34347 39601 42586 45796 63879 68694 79202 85172 103041 118803 127758 137388 158404 191637 206082 237606 255516 356409 383274 412164 475212 712818 766548 1425636 2278351 4237307 4556702 6835053 8474614 9113404 12711921 13670106 16949228 20505159 25423842 27340212 38135763 41010318 50847684 76271526 82020636 152543052 453391849 906783698 1360175547 1813567396 2720351094 4080526641 5440702188 8161053282 16322106564