Search a number
-
+
463428463232 = 2774217122651
BaseRepresentation
bin1101011111001100111…
…11010010101010000000
31122022012010102011010202
412233212133102222000
530043100141310412
6552521320144332
745324121641230
oct6574637225200
91568163364122
10463428463232
111695a2316649
12759953080a8
13349164789a7
1418604111cc0
15c0c51273c2
hex6be67d2a80

463428463232 has 64 divisors (see below), whose sum is σ = 1055386117440. Its totient is φ = 198563481600.

The previous prime is 463428463187. The next prime is 463428463261. The reversal of 463428463232 is 232364824364.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3717107 + ... + 3839757.

It is an arithmetic number, because the mean of its divisors is an integer number (16490408085).

Almost surely, 2463428463232 is an apocalyptic number.

It is an amenable number.

463428463232 is an abundant number, since it is smaller than the sum of its proper divisors (591957654208).

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

463428463232 is a wasteful number, since it uses less digits than its factorization.

463428463232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126889 (or 126877 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 47.

The spelling of 463428463232 in words is "four hundred sixty-three billion, four hundred twenty-eight million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4217 8434 16868 29519 33736 59038 67472 118076 122651 134944 236152 245302 269888 472304 490604 539776 858557 944608 981208 1717114 1889216 1962416 3434228 3778432 3924832 6868456 7849664 13736912 15699328 27473824 54947648 109895296 517219267 1034438534 2068877068 3620534869 4137754136 7241069738 8275508272 14482139476 16551016544 28964278952 33102033088 57928557904 66204066176 115857115808 231714231616 463428463232