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18681969124 = 22721327512
BaseRepresentation
bin10001011001100010…
…000011100111100100
31210012222102100210101
4101121202003213210
5301230041002444
612325443233444
71230646055200
oct213142034744
953188370711
1018681969124
117a17536a05
123754678884
1319b95c8900
14c9322db00
157451b83d4
hex4598839e4

18681969124 has 81 divisors (see below), whose sum is σ = 41236569801. Its totient is φ = 7380828000.

The previous prime is 18681969083. The next prime is 18681969139. The reversal of 18681969124 is 42196918681.

The square root of 18681969124 is 136682.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2763604900 + 15918364224 = 52570^2 + 126168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24875749 + ... + 24876499.

Almost surely, 218681969124 is an apocalyptic number.

18681969124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18681969124 is the 136682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18681969124

18681969124 is an abundant number, since it is smaller than the sum of its proper divisors (22554600677).

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

18681969124 is an equidigital number, since it uses as much as digits as its factorization.

18681969124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 773 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 55.

The spelling of 18681969124 in words is "eighteen billion, six hundred eighty-one million, nine hundred sixty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 751 1183 1274 1502 2366 2548 3004 4732 5257 8281 9763 10514 16562 19526 21028 33124 36799 39052 68341 73598 126919 136682 147196 253838 273364 478387 507676 564001 888433 956774 1128002 1776866 1913548 2256004 3553732 3948007 6219031 7332013 7896014 12438062 14664026 15792028 24876124 27636049 29328052 51324091 55272098 95316169 102648182 110544196 190632338 205296364 359268637 381264676 667213183 718537274 1334426366 1437074548 2668852732 4670492281 9340984562 18681969124