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45678315312 = 2433715105263
BaseRepresentation
bin101010100010101000…
…111100011100110000
311100220101210211202000
4222202220330130300
51222022122042222
632552340454000
73204644162640
oct524250743460
9140811724660
1045678315312
1118410244413
128a296aa300
1343cc5ca356
1422d47a0520
1512c527a9ac
hexaa2a3c730

45678315312 has 80 divisors (see below), whose sum is σ = 149844218880. Its totient is φ = 13050946368.

The previous prime is 45678315311. The next prime is 45678315341. The reversal of 45678315312 is 21351387654.

It is a happy number.

45678315312 is a `hidden beast` number, since 4 + 567 + 8 + 31 + 53 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45678315311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7549608 + ... + 7555655.

It is an arithmetic number, because the mean of its divisors is an integer number (1873052736).

Almost surely, 245678315312 is an apocalyptic number.

45678315312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45678315312 is an abundant number, since it is smaller than the sum of its proper divisors (104165903568).

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

45678315312 is a wasteful number, since it uses less digits than its factorization.

45678315312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15105287 (or 15105275 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 45678315312 in words is "forty-five billion, six hundred seventy-eight million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 15105263 30210526 45315789 60421052 90631578 105736841 120842104 135947367 181263156 211473682 241684208 271894734 317210523 362526312 407842101 422947364 543789468 634421046 725052624 815684202 845894728 951631569 1087578936 1268842092 1631368404 1691789456 1903263138 2175157872 2537684184 2854894707 3262736808 3806526276 5075368368 5709789414 6525473616 7613052552 11419578828 15226105104 22839157656 45678315312