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45314371476 = 223211202756453
BaseRepresentation
bin101010001100111100…
…100110111110010100
311022222000222120122200
4222030330212332110
51220300434341401
632452300124500
73162634542123
oct521474467624
9138860876580
1045314371476
1118243865a90
128947836730
1343720a147a
14229c303aba
1512a333a686
hexa8cf26f94

45314371476 has 72 divisors (see below), whose sum is σ = 125021673504. Its totient is φ = 13724610240.

The previous prime is 45314371469. The next prime is 45314371519. The reversal of 45314371476 is 67417341354.

45314371476 is a `hidden beast` number, since 4 + 531 + 4 + 3 + 71 + 47 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774466 + ... + 830918.

It is an arithmetic number, because the mean of its divisors is an integer number (1736412132).

Almost surely, 245314371476 is an apocalyptic number.

It is an amenable number.

45314371476 is an abundant number, since it is smaller than the sum of its proper divisors (79707302028).

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

45314371476 is a wasteful number, since it uses less digits than its factorization.

45314371476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58501 (or 58496 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 45314371476 in words is "forty-five billion, three hundred fourteen million, three hundred seventy-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2027 4054 6081 8108 12162 18243 22297 24324 36486 44594 56453 66891 72972 89188 112906 133782 169359 200673 225812 267564 338718 401346 508077 620983 677436 802692 1016154 1241966 1862949 2032308 2483932 3725898 5588847 7451796 11177694 22355388 114430231 228860462 343290693 457720924 686581386 1029872079 1258732541 1373162772 2059744158 2517465082 3776197623 4119488316 5034930164 7552395246 11328592869 15104790492 22657185738 45314371476