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166522006656 = 273348183451
BaseRepresentation
bin1001101100010101111…
…1000010110010000000
3120220211012112102012000
42123011133002302000
510212014113203111
6204255452304000
715013366462605
oct2330537026200
9526735472160
10166522006656
1164692371305
1228333a72000
131291a524365
1480b9ba66ac
1544e9338c56
hex26c57c2c80

166522006656 has 64 divisors (see below), whose sum is σ = 491471210400. Its totient is φ = 55507334400.

The previous prime is 166522006631. The next prime is 166522006657. The reversal of 166522006656 is 656600225661.

It is a happy number.

166522006656 is a `hidden beast` number, since 1 + 66 + 522 + 0 + 0 + 6 + 65 + 6 = 666.

166522006656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (166522006657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24088270 + ... + 24095181.

Almost surely, 2166522006656 is an apocalyptic number.

166522006656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166522006656 is an abundant number, since it is smaller than the sum of its proper divisors (324949203744).

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

166522006656 is an equidigital number, since it uses as much as digits as its factorization.

166522006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48183474 (or 48183456 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 166522006656 in words is "one hundred sixty-six billion, five hundred twenty-two million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 48183451 96366902 144550353 192733804 289100706 385467608 433651059 578201412 770935216 867302118 1156402824 1300953177 1541870432 1734604236 2312805648 2601906354 3083740864 3469208472 4625611296 5203812708 6167481728 6938416944 9251222592 10407625416 13876833888 18502445184 20815250832 27753667776 41630501664 55507335552 83261003328 166522006656