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45214639632 = 24322729115057
BaseRepresentation
bin101010000111000000…
…001010011000010000
311022201002022200021200
4222013000022120100
51220044421432012
632434334351200
73160314044541
oct520700123020
9138632280250
1045214639632
11181a2537a78
12891a35b500
134357522a46
14228cd824c8
1512996da3dc
hexa8700a610

45214639632 has 60 divisors (see below), whose sum is σ = 126585661020. Its totient is φ = 15065892864.

The previous prime is 45214639627. The next prime is 45214639643. The reversal of 45214639632 is 23693641254.

45214639632 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 4 + 6 + 3 + 9 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24606314496 + 20608325136 = 156864^2 + 143556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335448 + ... + 450504.

It is an arithmetic number, because the mean of its divisors is an integer number (2109761017).

Almost surely, 245214639632 is an apocalyptic number.

It is an amenable number.

45214639632 is an abundant number, since it is smaller than the sum of its proper divisors (81371021388).

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

45214639632 is a wasteful number, since it uses less digits than its factorization.

45214639632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117800 (or 117791 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 45214639632 in words is "forty-five billion, two hundred fourteen million, six hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2729 5458 8187 10916 16374 21832 24561 32748 43664 49122 65496 98244 115057 130992 196488 230114 345171 392976 460228 690342 920456 1035513 1380684 1840912 2071026 2761368 4142052 5522736 8284104 16568208 313990553 627981106 941971659 1255962212 1883943318 2511924424 2825914977 3767886636 5023848848 5651829954 7535773272 11303659908 15071546544 22607319816 45214639632