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166616464 = 24724612
BaseRepresentation
bin10011110111001…
…01110110010000
3102121111222211011
421323211312100
5320123211324
624311100304
74062134200
oct1173456620
9377458734
10166616464
1186061463
1247971694
1328699231
14181b2400
15e962c94
hex9ee5d90

166616464 has 45 divisors (see below), whose sum is σ = 376340961. Its totient is φ = 71252160.

The previous prime is 166616449. The next prime is 166616479. The reversal of 166616464 is 464616661.

The square root of 166616464 is 12908.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (166616449) and next prime (166616479).

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 113209600 = 7308^2 + 10640^2 .

It is a super-2 number, since 2×1666164642 = 55522092151726592, which contains 22 as substring.

It is a Duffinian number.

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, 361194 + ... + 361654.

Almost surely, 2166616464 is an apocalyptic number.

166616464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166616464 is the 12908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166616464

166616464 is an abundant number, since it is smaller than the sum of its proper divisors (209724497).

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

166616464 is an frugal number, since it uses more digits than its factorization.

166616464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 470 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The cubic root of 166616464 is about 550.2659474159.

The spelling of 166616464 in words is "one hundred sixty-six million, six hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 461 784 922 1844 3227 3688 6454 7376 12908 22589 25816 45178 51632 90356 180712 212521 361424 425042 850084 1487647 1700168 2975294 3400336 5950588 10413529 11901176 20827058 23802352 41654116 83308232 166616464