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188205428604456 = 233217153762605069
BaseRepresentation
bin101010110010101111111101…
…101101110111111000101000
3220200101021002220201022121200
4222302233331231313320220
5144132024204210320311
61504140214051204200
754433251653522244
oct5262577555677050
9820337086638550
10188205428604456
1154a71523a3a60a
12191375812a6660
138102907795363
1434692970b7424
1516b59c5ead556
hexab2bfdb77e28

188205428604456 has 48 divisors (see below), whose sum is σ = 539706743795700. Its totient is φ = 59044840346112.

The previous prime is 188205428604433. The next prime is 188205428604497. The reversal of 188205428604456 is 654406824502881.

188205428604456 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 0 + 542 + 86 + 0 + 4 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181220328476100 + 6985100128356 = 13461810^2 + 2642934^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 188205428604393 and 188205428604402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76881301311 + ... + 76881303758.

Almost surely, 2188205428604456 is an apocalyptic number.

It is an amenable number.

188205428604456 is an abundant number, since it is smaller than the sum of its proper divisors (351501315191244).

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

188205428604456 is a wasteful number, since it uses less digits than its factorization.

188205428604456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153762605098 (or 153762605091 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 188205428604456 in words is "one hundred eighty-eight trillion, two hundred five billion, four hundred twenty-eight million, six hundred four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 153762605069 307525210138 461287815207 615050420276 922575630414 1230100840552 1383863445621 1845151260828 2613964286173 2767726891242 3690302521656 5227928572346 5535453782484 7841892858519 10455857144692 11070907564968 15683785717038 20911714289384 23525678575557 31367571434076 47051357151114 62735142868152 94102714302228 188205428604456