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45748094464 = 294710971733
BaseRepresentation
bin101010100110110011…
…001000011000000000
311101002021002222202001
4222212303020120000
51222143003010324
633003312233344
73206452246462
oct524663103000
9141067088661
1045748094464
1118446674536
128a48b3b854
134410bbc4a7
1422ddb66132
1512cb460e44
hexaa6cc8600

45748094464 has 80 divisors (see below), whose sum is σ = 93490676928. Its totient is φ = 22354051072.

The previous prime is 45748094423. The next prime is 45748094479. The reversal of 45748094464 is 46449084754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26397342 + ... + 26399074.

Almost surely, 245748094464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45748094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46745338464).

45748094464 is an abundant number, since it is smaller than the sum of its proper divisors (47742582464).

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

45748094464 is a wasteful number, since it uses less digits than its factorization.

45748094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 45748094464 in words is "forty-five billion, seven hundred forty-eight million, ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1097 1504 1733 2194 3008 3466 4388 6016 6932 8776 12032 13864 17552 24064 27728 35104 51559 55456 70208 81451 103118 110912 140416 162902 206236 221824 280832 325804 412472 443648 561664 651608 824944 887296 1303216 1649888 1901101 2606432 3299776 3802202 5212864 6599552 7604404 10425728 13199104 15208808 20851456 26398208 30417616 41702912 60835232 89351747 121670464 178703494 243340928 357406988 486681856 714813976 973363712 1429627952 2859255904 5718511808 11437023616 22874047232 45748094464