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18934185240 = 23335139126127
BaseRepresentation
bin10001101000100100…
…001011110100011000
31210212120000021021000
4101220210023310120
5302234122411430
612410453145000
71240130630145
oct215044136430
953776007230
1018934185240
118036943683
12380502b160
131a29935c09
14cb89253cc
1575c3d8e60
hex46890bd18

18934185240 has 128 divisors (see below), whose sum is σ = 63568512000. Its totient is φ = 5012751744.

The previous prime is 18934185211. The next prime is 18934185307. The reversal of 18934185240 is 4258143981.

18934185240 is a `hidden beast` number, since 1 + 89 + 3 + 41 + 8 + 524 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 87057 + ... + 213183.

It is an arithmetic number, because the mean of its divisors is an integer number (496629000).

Almost surely, 218934185240 is an apocalyptic number.

18934185240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18934185240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31784256000).

18934185240 is an abundant number, since it is smaller than the sum of its proper divisors (44634326760).

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

18934185240 is a wasteful number, since it uses less digits than its factorization.

18934185240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126286 (or 126276 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 18934185240 in words is "eighteen billion, nine hundred thirty-four million, one hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 1080 1112 1251 1390 1668 2085 2502 2780 3336 3753 4170 5004 5560 6255 7506 8340 10008 12510 15012 16680 18765 25020 30024 37530 50040 75060 126127 150120 252254 378381 504508 630635 756762 1009016 1135143 1261270 1513524 1891905 2270286 2522540 3027048 3405429 3783810 4540572 5045080 5675715 6810858 7567620 9081144 11351430 13621716 15135240 17027145 17531653 22702860 27243432 34054290 35063306 45405720 52594959 68108580 70126612 87658265 105189918 136217160 140253224 157784877 175316530 210379836 262974795 315569754 350633060 420759672 473354631 525949590 631139508 701266120 788924385 946709262 1051899180 1262279016 1577848770 1893418524 2103798360 2366773155 3155697540 3786837048 4733546310 6311395080 9467092620 18934185240