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166317444 = 22324619929
BaseRepresentation
bin10011110100111…
…00110110000100
3102120221210122100
421322130312010
5320034124234
624300432100
74056450336
oct1172346604
9376853570
10166317444
1185977837
1247848630
13285c30b7
1418135456
15e904399
hex9e9cd84

166317444 has 18 divisors (see below), whose sum is σ = 420413630. Its totient is φ = 55439136.

The previous prime is 166317419. The next prime is 166317451. The reversal of 166317444 is 444713661.

166317444 is a `hidden beast` number, since 16 + 631 + 7 + 4 + 4 + 4 = 666.

166317444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 16499844 = 12240^2 + 4062^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1663174442 = 55322984357386272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4619929 = 166317444 / (1 + 6 + 6 + 3 + 1 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 166317399 and 166317408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2309929 + ... + 2310000.

Almost surely, 2166317444 is an apocalyptic number.

It is an amenable number.

166317444 is an abundant number, since it is smaller than the sum of its proper divisors (254096186).

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

166317444 is a wasteful number, since it uses less digits than its factorization.

166317444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619939 (or 4619934 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 166317444 is about 12896.4120591737. The cubic root of 166317444 is about 549.9365700956.

The spelling of 166317444 in words is "one hundred sixty-six million, three hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4619929 9239858 13859787 18479716 27719574 41579361 55439148 83158722 166317444