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18243269406 = 23219113547863
BaseRepresentation
bin10000111111011000…
…100011001100011110
31202002101221002220200
4100333120203030132
5244330234110111
612214132324330
71214041142235
oct207730431436
952071832820
1018243269406
11781193935a
1236517736a6
13194975758b
14c50c73b1c
1571b90d256
hex43f62331e

18243269406 has 96 divisors (see below), whose sum is σ = 42101130240. Its totient is φ = 5693006592.

The previous prime is 18243269393. The next prime is 18243269413. The reversal of 18243269406 is 60496234281.

18243269406 is a `hidden beast` number, since 182 + 4 + 3 + 2 + 69 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21138931 + ... + 21139793.

It is an arithmetic number, because the mean of its divisors is an integer number (438553440).

Almost surely, 218243269406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18243269406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050565120).

18243269406 is an abundant number, since it is smaller than the sum of its proper divisors (23857860834).

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

18243269406 is a wasteful number, since it uses less digits than its factorization.

18243269406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1547 counting only the distinct ones).

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

The spelling of 18243269406 in words is "eighteen billion, two hundred forty-three million, two hundred sixty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 113 114 171 226 339 342 547 678 863 1017 1094 1641 1726 2034 2147 2589 3282 4294 4923 5178 6441 7767 9846 10393 12882 15534 16397 19323 20786 31179 32794 38646 49191 61811 62358 93537 97519 98382 123622 147573 185433 187074 195038 292557 295146 370866 472061 556299 585114 877671 944122 1112598 1174409 1416183 1755342 1852861 2348818 2832366 3523227 3705722 4248549 5558583 7046454 8497098 8969159 10569681 11117166 16675749 17938318 21139362 26907477 33351498 53342893 53814954 80722431 106685786 160028679 161444862 320057358 480086037 960172074 1013514967 2027029934 3040544901 6081089802 9121634703 18243269406