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18534213990 = 2335251491557
BaseRepresentation
bin10001010000101110…
…011010100101100110
31202211200101121212000
4101100232122211212
5300424224321430
612303044310130
71224203135205
oct212056324546
952750347760
1018534213990
117951098326
1237130a2346
131994b04736
14c7b76b23c
1573722de60
hex450b9a966

18534213990 has 128 divisors (see below), whose sum is σ = 49811811840. Its totient is φ = 4903920000.

The previous prime is 18534213967. The next prime is 18534214007. The reversal of 18534213990 is 9931243581.

It is a happy number.

18534213990 is a `hidden beast` number, since 1 + 8 + 534 + 21 + 3 + 9 + 90 = 666.

It is a super-2 number, since 2×185342139902 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33274792 + ... + 33275348.

It is an arithmetic number, because the mean of its divisors is an integer number (389154780).

Almost surely, 218534213990 is an apocalyptic number.

18534213990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18534213990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24905905920).

18534213990 is an abundant number, since it is smaller than the sum of its proper divisors (31277597850).

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

18534213990 is a wasteful number, since it uses less digits than its factorization.

18534213990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 18534213990 in words is "eighteen billion, five hundred thirty-four million, two hundred thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 251 270 491 502 557 753 982 1114 1255 1473 1506 1671 2259 2455 2510 2785 2946 3342 3765 4419 4518 4910 5013 5570 6777 7365 7530 8355 8838 10026 11295 13257 13554 14730 15039 16710 22095 22590 25065 26514 30078 33885 44190 50130 66285 67770 75195 123241 132570 139807 150390 246482 273487 279614 369723 419421 546974 616205 699035 739446 820461 838842 1109169 1232410 1258263 1367435 1398070 1640922 1848615 2097105 2218338 2461383 2516526 2734870 3327507 3697230 3774789 4102305 4194210 4922766 5545845 6291315 6655014 7384149 7549578 8204610 11091690 12306915 12582630 14768298 16637535 18873945 24613830 33275070 36920745 37747890 68645237 73841490 137290474 205935711 343226185 411871422 617807133 686452370 1029678555 1235614266 1853421399 2059357110 3089035665 3706842798 6178071330 9267106995 18534213990