Search a number
-
+
450564465054 = 231117675993621
BaseRepresentation
bin1101000111001111011…
…11000010000110011110
31121001222121112100002210
412203213233002012132
524340224000340204
6542553024101250
744360256522324
oct6434757020636
91531877470083
10450564465054
111640a09923a0
12733a5164826
1333646314552
1417b43869d14
15bac0adc389
hex68e7bc219e

450564465054 has 64 divisors (see below), whose sum is σ = 1056411839232. Its totient is φ = 126585254400.

The previous prime is 450564465017. The next prime is 450564465089.

It is a happy number.

450564465054 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 450564464994 and 450564465012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2921637 + ... + 3071984.

It is an arithmetic number, because the mean of its divisors is an integer number (16506434988).

Almost surely, 2450564465054 is an apocalyptic number.

450564465054 is an abundant number, since it is smaller than the sum of its proper divisors (605847374178).

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

450564465054 is a wasteful number, since it uses less digits than its factorization.

450564465054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993721.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 450564465054 in words is "four hundred fifty billion, five hundred sixty-four million, four hundred sixty-five thousand, fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 67 102 134 187 201 374 402 561 737 1122 1139 1474 2211 2278 3417 4422 6834 12529 25058 37587 75174 5993621 11987242 17980863 35961726 65929831 101891557 131859662 197789493 203783114 305674671 395578986 401572607 611349342 803145214 1120807127 1204717821 2241614254 2409435642 3362421381 4417298677 6724842762 6826734319 8834597354 13251896031 13653468638 20480202957 26503792062 40960405914 75094077509 150188155018 225282232527 450564465054