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166610664 = 233211211997
BaseRepresentation
bin10011110111001…
…00011011101000
3102121111200212100
421323210123220
5320123020124
624311013400
74062111243
oct1173443350
9377450770
10166610664
1186058070
124796a260
13286966bc
14181b025a
15e9611c9
hex9ee46e8

166610664 has 96 divisors (see below), whose sum is σ = 495087840. Its totient is φ = 50198400.

The previous prime is 166610657. The next prime is 166610671. The reversal of 166610664 is 466016661.

It is an interprime number because it is at equal distance from previous prime (166610657) and next prime (166610671).

It is a super-2 number, since 2×1666106642 = 55518226717041792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166614 + ... + 167610.

It is an arithmetic number, because the mean of its divisors is an integer number (5157165).

Almost surely, 2166610664 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 166610664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247543920).

166610664 is an abundant number, since it is smaller than the sum of its proper divisors (328477176).

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

166610664 is a wasteful number, since it uses less digits than its factorization.

166610664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166610664 is about 12907.7753311715. The cubic root of 166610664 is about 550.2595623336.

The spelling of 166610664 in words is "one hundred sixty-six million, six hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 633 792 844 997 1266 1688 1899 1994 2321 2532 2991 3798 3988 4642 5064 5982 6963 7596 7976 8973 9284 10967 11964 13926 15192 17946 18568 20889 21934 23928 27852 32901 35892 41778 43868 55704 65802 71784 83556 87736 98703 131604 167112 197406 210367 263208 394812 420734 631101 789624 841468 1262202 1682936 1893303 2314037 2524404 3786606 4628074 5048808 6942111 7573212 9256148 13884222 15146424 18512296 20826333 27768444 41652666 55536888 83305332 166610664