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187997890208472 = 2334404597170721
BaseRepresentation
bin101010101111101110101011…
…011101101110001011011000
3220122122102102012121102220000
4222233232223131232023120
5144120124134343132342
61503501012151133000
754412253655334341
oct5257565335561330
9818572365542800
10187997890208472
11549a1503a22993
1219103301074160
1380b9181763756
14345d209b6b0c8
1516b03cad2044c
hexaafbab76e2d8

187997890208472 has 80 divisors (see below), whose sum is σ = 526581252997800. Its totient is φ = 62664405788160.

The previous prime is 187997890208467. The next prime is 187997890208497. The reversal of 187997890208472 is 274802098799781.

187997890208472 is a `hidden beast` number, since 1 + 8 + 79 + 9 + 78 + 9 + 0 + 2 + 0 + 8 + 472 = 666.

It is a super-3 number, since 3×1879978902084723 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 187997890208391 and 187997890208400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22632072 + ... + 29802792.

Almost surely, 2187997890208472 is an apocalyptic number.

187997890208472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

187997890208472 is an abundant number, since it is smaller than the sum of its proper divisors (338583362789328).

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

187997890208472 is a wasteful number, since it uses less digits than its factorization.

187997890208472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211198 (or 7211185 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 81.

The spelling of 187997890208472 in words is "one hundred eighty-seven trillion, nine hundred ninety-seven billion, eight hundred ninety million, two hundred eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 40459 80918 121377 161836 242754 323672 364131 485508 728262 971016 1092393 1456524 2184786 2913048 3277179 4369572 6554358 7170721 8739144 13108716 14341442 21512163 26217432 28682884 43024326 57365768 64536489 86048652 129072978 172097304 193609467 258145956 387218934 516291912 580828401 774437868 1161656802 1548875736 2323313604 4646627208 290120200939 580240401878 870360602817 1160480803756 1740721205634 2320961607512 2611081808451 3481442411268 5222163616902 6962884822536 7833245425353 10444327233804 15666490850706 20888654467608 23499736276059 31332981701412 46999472552118 62665963402824 93998945104236 187997890208472