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166996336 = 24132151409
BaseRepresentation
bin10011111010000…
…10100101110000
3102122020021220111
421331002211300
5320222340321
624323151104
74065305533
oct1175024560
9378207814
10166996336
11862a0901
1247b15494
13287a0100
1418270a1a
15e9da5e1
hex9f42970

166996336 has 60 divisors (see below), whose sum is σ = 353541360. Its totient is φ = 76377600.

The previous prime is 166996303. The next prime is 166996337. The reversal of 166996336 is 633699661.

It is a self number, because there is not a number n which added to its sum of digits gives 166996336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166996337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408100 + ... + 408508.

It is an arithmetic number, because the mean of its divisors is an integer number (5892356).

Almost surely, 2166996336 is an apocalyptic number.

166996336 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 166996336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176770680).

166996336 is an abundant number, since it is smaller than the sum of its proper divisors (186545024).

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

166996336 is a wasteful number, since it uses less digits than its factorization.

166996336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its digits is 944784, while the sum is 49.

The square root of 166996336 is about 12922.7062181263. The cubic root of 166996336 is about 550.6838172235.

The spelling of 166996336 in words is "one hundred sixty-six million, nine hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 151 169 208 302 338 409 604 676 818 1208 1352 1636 1963 2416 2704 3272 3926 5317 6544 7852 10634 15704 21268 25519 31408 42536 51038 61759 69121 85072 102076 123518 138242 204152 247036 276484 408304 494072 552968 802867 988144 1105936 1605734 3211468 6422936 10437271 12845872 20874542 41749084 83498168 166996336