Search a number
-
+
460664466064 = 241122013118903
BaseRepresentation
bin1101011010000011011…
…11011110101010010000
31122001001111110112211021
412231001233132222100
530021420100403224
6551343142125224
745165460232365
oct6550157365220
91561044415737
10460664466064
11168404099670
1275343720814
1334595945aca
1418420dc046c
15beb26501e4
hex6b41bdea90

460664466064 has 40 divisors (see below), whose sum is σ = 973729588032. Its totient is φ = 209381665920.

The previous prime is 460664466061. The next prime is 460664466133.

It is a happy number.

460664466064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (460664466061) 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, 3814837 + ... + 3933739.

Almost surely, 2460664466064 is an apocalyptic number.

460664466064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460664466064 is an abundant number, since it is smaller than the sum of its proper divisors (513065121968).

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

460664466064 is a wasteful number, since it uses less digits than its factorization.

460664466064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140935 (or 140929 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 460664466064 in words is "four hundred sixty billion, six hundred sixty-four million, four hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 22013 44026 88052 118903 176104 237806 242143 352208 475612 484286 951224 968572 1307933 1902448 1937144 2615866 3874288 5231732 10463464 20926928 2617411739 5234823478 10469646956 20939293912 28791529129 41878587824 57583058258 115166116516 230332233032 460664466064