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18927706084 = 22723123172
BaseRepresentation
bin10001101000001011…
…011101111111100100
31210212002211002112021
4101220023131333210
5302230443043314
612410102232524
71240021563400
oct215013357744
953762732467
1018927706084
118033218801
123802a25744
131a284a7ab1
14cb7b1a100
1575ba59324
hex4682ddfe4

18927706084 has 81 divisors (see below), whose sum is σ = 39940439049. Its totient is φ = 7825436640.

The previous prime is 18927706081. The next prime is 18927706123. The reversal of 18927706084 is 48060772981.

The square root of 18927706084 is 137578.

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., 1059502500 + 17868203584 = 32550^2 + 133672^2 .

It is not an unprimeable number, because it can be changed into a prime (18927706081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59708694 + ... + 59709010.

Almost surely, 218927706084 is an apocalyptic number.

18927706084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18927706084 is the 137578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18927706084

18927706084 is an abundant number, since it is smaller than the sum of its proper divisors (21012732965).

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

18927706084 is an equidigital number, since it uses as much as digits as its factorization.

18927706084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 18927706084 in words is "eighteen billion, nine hundred twenty-seven million, seven hundred six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 317 434 634 868 961 1268 1519 1922 2219 3038 3844 4438 6076 6727 8876 9827 13454 15533 19654 26908 31066 39308 47089 62132 68789 94178 100489 137578 188356 200978 275156 304637 401956 481523 609274 703423 963046 1218548 1406846 1926092 2132459 2813692 3115159 4264918 4923961 6230318 8529836 9847922 12460636 14927213 19695844 21806113 29854426 43612226 59708852 87224452 96569929 152642791 193139858 305285582 386279716 610571164 675989503 1351979006 2703958012 4731926521 9463853042 18927706084