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45721463004 = 22327383473719
BaseRepresentation
bin101010100101001101…
…100010100011011100
311101000101222222020200
4222211031202203130
51222114143304004
633000521343500
73206010010650
oct524515424334
9141011888220
1045721463004
1118432634968
128a40037b90
134408526829
1422da3d2a60
1512c8e50239
hexaa53628dc

45721463004 has 72 divisors (see below), whose sum is σ = 132429373440. Its totient is φ = 13029139872.

The previous prime is 45721462937. The next prime is 45721463023. The reversal of 45721463004 is 40036412754.

45721463004 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 14 + 630 + 0 + 4 = 666.

It is a super-2 number, since 2×457214630042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45721463004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140344 + ... + 333375.

Almost surely, 245721463004 is an apocalyptic number.

It is an amenable number.

45721463004 is an abundant number, since it is smaller than the sum of its proper divisors (86707910436).

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

45721463004 is a wasteful number, since it uses less digits than its factorization.

45721463004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474119 (or 474114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 45721463004 its reverse (40036412754), we get a palindrome (85757875758).

The spelling of 45721463004 in words is "forty-five billion, seven hundred twenty-one million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 383 766 1149 1532 2298 2681 3447 4596 5362 6894 8043 10724 13788 16086 24129 32172 48258 96516 473719 947438 1421157 1894876 2842314 3316033 4263471 5684628 6632066 8526942 9948099 13264132 17053884 19896198 29844297 39792396 59688594 119377188 181434377 362868754 544303131 725737508 1088606262 1270040639 1632909393 2177212524 2540081278 3265818786 3810121917 5080162556 6531637572 7620243834 11430365751 15240487668 22860731502 45721463004