Search a number
-
+
460522225064 = 231151471016749
BaseRepresentation
bin1101011001110010100…
…00110111110110101000
31122000200120210221212002
412230321100313312220
530021122142200224
6551321101310132
745162112216526
oct6547120676650
91560616727762
10460522225064
11168340876920
1275303b65348
1334572332735
141840a155316
15bea4e049ae
hex6b39437da8

460522225064 has 32 divisors (see below), whose sum is σ = 942161220000. Its totient is φ = 209287408320.

The previous prime is 460522225061. The next prime is 460522225099.

460522225064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (460522225061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55439 + ... + 961310.

It is an arithmetic number, because the mean of its divisors is an integer number (29442538125).

Almost surely, 2460522225064 is an apocalyptic number.

460522225064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460522225064 is an abundant number, since it is smaller than the sum of its proper divisors (481638994936).

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

460522225064 is a wasteful number, since it uses less digits than its factorization.

460522225064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021913 (or 1021909 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 460522 and 225064, that added together give a palindrome (685586).

The spelling of 460522225064 in words is "four hundred sixty billion, five hundred twenty-two million, two hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 5147 10294 20588 41176 56617 113234 226468 452936 1016749 2033498 4066996 8133992 11184239 22368478 44736956 89473912 5233207103 10466414206 20932828412 41865656824 57565278133 115130556266 230261112532 460522225064