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18106300656 = 243425155661
BaseRepresentation
bin10000110111001110…
…000011100011110000
31201201212012101010000
4100313032003203300
5244040203110111
612152400510000
71210456005363
oct206716034360
951655171100
1018106300656
117751597744
12361391b300
13192726bb92
14c3a9bc0da
1570e8a4c56
hex4373838f0

18106300656 has 100 divisors (see below), whose sum is σ = 52614616824. Its totient is φ = 6011280000.

The previous prime is 18106300643. The next prime is 18106300679. The reversal of 18106300656 is 65600360181.

It is a happy number.

18106300656 is a `hidden beast` number, since 1 + 8 + 10 + 630 + 0 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18106300656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297466 + ... + 353126.

Almost surely, 218106300656 is an apocalyptic number.

18106300656 is a gapful number since it is divisible by the number (16) 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 18106300656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307308412).

18106300656 is an abundant number, since it is smaller than the sum of its proper divisors (34508316168).

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

18106300656 is a wasteful number, since it uses less digits than its factorization.

18106300656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55932 (or 55917 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 18106300656 in words is "eighteen billion, one hundred six million, three hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 251 324 432 502 648 753 1004 1296 1506 2008 2259 3012 4016 4518 6024 6777 9036 12048 13554 18072 20331 27108 36144 40662 54216 55661 81324 108432 111322 162648 166983 222644 325296 333966 445288 500949 667932 890576 1001898 1335864 1502847 2003796 2671728 3005694 4007592 4508541 6011388 8015184 9017082 12022776 13970911 18034164 24045552 27941822 36068328 41912733 55883644 72136656 83825466 111767288 125738199 167650932 223534576 251476398 335301864 377214597 502952796 670603728 754429194 1005905592 1131643791 1508858388 2011811184 2263287582 3017716776 4526575164 6035433552 9053150328 18106300656