Search a number
-
+
16455263664 = 2437283173053
BaseRepresentation
bin11110101001100111…
…10110010110110000
31120110210111000010210
433110303312112300
5232200021414124
611320501224120
71121530301430
oct172463662660
946423430123
1016455263664
116a84627164
123232a02040
1317231a6a08
14b216002c0
15664973a29
hex3d4cf65b0

16455263664 has 80 divisors (see below), whose sum is σ = 48754157312. Its totient is φ = 4684863744.

The previous prime is 16455263647. The next prime is 16455263689. The reversal of 16455263664 is 46636255461.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 8562 + ... + 181614.

Almost surely, 216455263664 is an apocalyptic number.

16455263664 is a gapful number since it is divisible by the number (14) 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 16455263664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24377078656).

16455263664 is an abundant number, since it is smaller than the sum of its proper divisors (32298893648).

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

16455263664 is a wasteful number, since it uses less digits than its factorization.

16455263664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173354 (or 173348 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 16455263664 in words is "sixteen billion, four hundred fifty-five million, two hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 283 336 566 849 1132 1698 1981 2264 3396 3962 4528 5943 6792 7924 11886 13584 15848 23772 31696 47544 95088 173053 346106 519159 692212 1038318 1211371 1384424 2076636 2422742 2768848 3634113 4153272 4845484 7268226 8306544 9690968 14536452 19381936 29072904 48973999 58145808 97947998 146921997 195895996 293843994 342817993 391791992 587687988 685635986 783583984 1028453979 1175375976 1371271972 2056907958 2350751952 2742543944 4113815916 5485087888 8227631832 16455263664