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166964128 = 2537831699
BaseRepresentation
bin10011111001110…
…10101110100000
3102122011122201121
421330322232200
5320220323003
624322342024
74065112612
oct1174725640
9378148647
10166964128
1186279691
1247aba914
132878b556
1418262db2
15e9d0cbd
hex9f3aba0

166964128 has 48 divisors (see below), whose sum is σ = 341863200. Its totient is φ = 80199936.

The previous prime is 166964117. The next prime is 166964143. The reversal of 166964128 is 821469661.

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, 97423 + ... + 99121.

It is an arithmetic number, because the mean of its divisors is an integer number (7122150).

Almost surely, 2166964128 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 166964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

166964128 is an abundant number, since it is smaller than the sum of its proper divisors (174899072).

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

166964128 is a wasteful number, since it uses less digits than its factorization.

166964128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1821 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 166964128 is about 12921.4599794296. The cubic root of 166964128 is about 550.6484121259.

The spelling of 166964128 in words is "one hundred sixty-six million, nine hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 83 148 166 296 332 592 664 1184 1328 1699 2656 3071 3398 6142 6796 12284 13592 24568 27184 49136 54368 62863 98272 125726 141017 251452 282034 502904 564068 1005808 1128136 2011616 2256272 4512544 5217629 10435258 20870516 41741032 83482064 166964128