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188818268925456 = 243211450932
BaseRepresentation
bin101010111011101010101101…
…110110001010111000010000
3220202112211221210220021011100
4222323222231312022320100
5144222044303321103311
61505325525410144400
754525445503353412
oct5273525566127020
9822484853807140
10188818268925456
1155188418365345
12192162b4282100
1381486426b6c31
14348abd27dc9b2
1516c68e323aa56
hexabbaadd8ae10

188818268925456 has 45 divisors (see below), whose sum is σ = 528429366868429. Its totient is φ = 62939368010688.

The previous prime is 188818268925449. The next prime is 188818268925491. The reversal of 188818268925456 is 654529862818881.

The square root of 188818268925456 is 13741116.

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

188818268925456 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 1 + 8 + 2 + 68 + 9 + 2 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112276487523600 + 76541781401856 = 10596060^2 + 8748816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164320846 + ... + 165465938.

Almost surely, 2188818268925456 is an apocalyptic number.

188818268925456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188818268925456 is the 13741116-th square number.

It is an amenable number.

188818268925456 is an abundant number, since it is smaller than the sum of its proper divisors (339611097942973).

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

188818268925456 is an frugal number, since it uses more digits than its factorization.

188818268925456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290200 (or 1145098 counting only the distinct ones).

The product of its digits is 4246732800, while the sum is 81.

The spelling of 188818268925456 in words is "one hundred eighty-eight trillion, eight hundred eighteen billion, two hundred sixty-eight million, nine hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1145093 2290186 3435279 4580372 6870558 9160744 10305837 13741116 18321488 20611674 27482232 41223348 54964464 82446696 164893392 1311237978649 2622475957298 3933713935947 5244951914596 7867427871894 10489903829192 11801141807841 15734855743788 20979807658384 23602283615682 31469711487576 47204567231364 62939422975152 94409134462728 188818268925456