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166057088 = 27172672
BaseRepresentation
bin10011110010111…
…01010010000000
3102120110120111112
421321131102000
5320002311323
624251102452
74054314311
oct1171352200
9376416445
10166057088
118580a16a
1247741a28
1328531742
14180a8608
15e8a2178
hex9e5d480

166057088 has 72 divisors (see below), whose sum is σ = 356744745. Its totient is φ = 76978176.

The previous prime is 166057061. The next prime is 166057097. The reversal of 166057088 is 880750661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 151979584 + 14077504 = 12328^2 + 3752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9112.

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, 2478431 + ... + 2478497.

Almost surely, 2166057088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166057088

166057088 is an abundant number, since it is smaller than the sum of its proper divisors (190687657).

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

166057088 is an frugal number, since it uses more digits than its factorization.

166057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 166057088 is about 12886.3139803436. The cubic root of 166057088 is about 549.6494603794.

The spelling of 166057088 in words is "one hundred sixty-six million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 268 272 289 536 544 578 1072 1088 1139 1156 2144 2176 2278 2312 4288 4489 4556 4624 8576 8978 9112 9248 17956 18224 18496 19363 35912 36448 36992 38726 71824 72896 76313 77452 143648 145792 152626 154904 287296 305252 309808 574592 610504 619616 1221008 1239232 1297321 2442016 2478464 2594642 4884032 5189284 9768064 10378568 20757136 41514272 83028544 166057088