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18093189888 = 283319137771
BaseRepresentation
bin10000110110011100…
…000010101100000000
31201200221112021112000
4100312130002230000
5244023324034023
612151211504000
71210236401514
oct206634025400
951627467460
1018093189888
1177451523a4
12360b458000
13192462b427
14c38d68144
1570d665243
hex436702b00

18093189888 has 144 divisors (see below), whose sum is σ = 56321193600. Its totient is φ = 5713597440.

The previous prime is 18093189883. The next prime is 18093189893. The reversal of 18093189888 is 88898139081.

It is an interprime number because it is at equal distance from previous prime (18093189883) and next prime (18093189893).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (18093189883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62443 + ... + 200213.

It is an arithmetic number, because the mean of its divisors is an integer number (391119400).

Almost surely, 218093189888 is an apocalyptic number.

18093189888 is a gapful number since it is divisible by the number (18) 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 18093189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28160596800).

18093189888 is an abundant number, since it is smaller than the sum of its proper divisors (38228003712).

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

18093189888 is a wasteful number, since it uses less digits than its factorization.

18093189888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137815 (or 137795 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 18093189888 in words is "eighteen billion, ninety-three million, one hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 137771 275542 413313 551084 826626 1102168 1239939 1653252 2204336 2479878 2617649 3306504 3719817 4408672 4959756 5235298 6613008 7439634 7852947 8817344 9919512 10470596 13226016 14879268 15705894 17634688 19839024 20941192 23558841 26452032 29758536 31411788 35269376 39678048 41882384 47117682 52904064 59517072 62823576 70676523 79356096 83764768 94235364 105808128 119034144 125647152 141353046 158712192 167529536 188470728 238068288 251294304 282706092 317424384 335059072 376941456 476136576 502588608 565412184 670118144 753882912 952273152 1005177216 1130824368 1507765824 2010354432 2261648736 3015531648 4523297472 6031063296 9046594944 18093189888