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166045056 = 2731812389
BaseRepresentation
bin10011110010110…
…10010110000000
3102120102221222220
421321122112000
5320001420211
624250531040
74054234242
oct1171322600
9376387886
10166045056
1185801121
1247736a80
1328529118
14180a4092
15e89d806
hex9e5a580

166045056 has 64 divisors (see below), whose sum is σ = 443679600. Its totient is φ = 55019520.

The previous prime is 166045049. The next prime is 166045063. The reversal of 166045056 is 650540661.

It is an interprime number because it is at equal distance from previous prime (166045049) and next prime (166045063).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68310 + ... + 70698.

Almost surely, 2166045056 is an apocalyptic number.

166045056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221839800).

166045056 is an abundant number, since it is smaller than the sum of its proper divisors (277634544).

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

166045056 is a wasteful number, since it uses less digits than its factorization.

166045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 166045056 is about 12885.8471199995. The cubic root of 166045056 is about 549.6361847401.

The spelling of 166045056 in words is "one hundred sixty-six million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 724 1086 1448 2172 2389 2896 4344 4778 5792 7167 8688 9556 11584 14334 17376 19112 23168 28668 34752 38224 57336 69504 76448 114672 152896 229344 305792 432409 458688 864818 917376 1297227 1729636 2594454 3459272 5188908 6918544 10377816 13837088 20755632 27674176 41511264 55348352 83022528 166045056