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18221441364 = 22327174253371
BaseRepresentation
bin10000111110000101…
…010010000101010100
31202000212212010110200
4100332011102011110
5244304142110424
612212032420500
71213354460520
oct207605220524
952025763420
1018221441364
11780058a655
1236463a7730
131945084089
14c4bdd0d80
15719a4a8c9
hex43e152154

18221441364 has 72 divisors (see below), whose sum is σ = 55736186688. Its totient is φ = 4899882240.

The previous prime is 18221441341. The next prime is 18221441369. The reversal of 18221441364 is 46314412281.

18221441364 is a `hidden beast` number, since 1 + 82 + 214 + 4 + 1 + 364 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18221441369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122402 + ... + 2130969.

It is an arithmetic number, because the mean of its divisors is an integer number (774113704).

Almost surely, 218221441364 is an apocalyptic number.

18221441364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18221441364 is an abundant number, since it is smaller than the sum of its proper divisors (37514745324).

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

18221441364 is a wasteful number, since it uses less digits than its factorization.

18221441364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253405 (or 4253400 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 18221441364 in words is "eighteen billion, two hundred twenty-one million, four hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 4253371 8506742 12760113 17013484 25520226 29773597 38280339 51040452 59547194 72307307 76560678 89320791 119094388 144614614 153121356 178641582 216921921 267962373 289229228 357283164 433843842 506151149 535924746 650765763 867687684 1012302298 1071849492 1301531526 1518453447 2024604596 2603063052 3036906894 4555360341 6073813788 9110720682 18221441364