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18930446460 = 22325280137547
BaseRepresentation
bin10001101000010101…
…111011000001111100
31210212021222022121200
4101220111323001330
5302232143241320
612410241055500
71240054066002
oct215025730174
953767868550
1018930446460
11803481a682
123803927590
131a28c27213
14cb8230a72
1575bdeb290
hex46857b07c

18930446460 has 72 divisors (see below), whose sum is σ = 57444384816. Its totient is φ = 5046182400.

The previous prime is 18930446413. The next prime is 18930446467. The reversal of 18930446460 is 6464403981.

18930446460 is a `hidden beast` number, since 189 + 3 + 0 + 4 + 4 + 6 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18930446467) by changing a digit.

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, 485407 + ... + 522953.

It is an arithmetic number, because the mean of its divisors is an integer number (797838678).

Almost surely, 218930446460 is an apocalyptic number.

18930446460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18930446460 is an abundant number, since it is smaller than the sum of its proper divisors (38513938356).

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

18930446460 is a wasteful number, since it uses less digits than its factorization.

18930446460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40363 (or 40358 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 18930446460 in words is "eighteen billion, nine hundred thirty million, four hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2801 5602 8403 11204 14005 16806 25209 28010 33612 37547 42015 50418 56020 75094 84030 100836 112641 126045 150188 168060 187735 225282 252090 337923 375470 450564 504180 563205 675846 750940 1126410 1351692 1689615 2252820 3379230 6758460 105169147 210338294 315507441 420676588 525845735 631014882 946522323 1051691470 1262029764 1577537205 1893044646 2103382940 3155074410 3786089292 4732611615 6310148820 9465223230 18930446460