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166497144 = 23311679413
BaseRepresentation
bin10011110110010…
…00101101111000
3102121021221010220
421323020231320
5320110402034
624304340040
74061126262
oct1173105570
9377257126
10166497144
1185a8a850
1247914620
1328656b28
1418180b32
15e93c749
hex9ec8b78

166497144 has 64 divisors (see below), whose sum is σ = 460909440. Its totient is φ = 49695360.

The previous prime is 166497139. The next prime is 166497181. The reversal of 166497144 is 441794661.

It is a junction number, because it is equal to n+sod(n) for n = 166497096 and 166497105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12982 + ... + 22394.

It is an arithmetic number, because the mean of its divisors is an integer number (7201710).

Almost surely, 2166497144 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 166497144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230454720).

166497144 is an abundant number, since it is smaller than the sum of its proper divisors (294412296).

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

166497144 is a wasteful number, since it uses less digits than its factorization.

166497144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9496 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 166497144 is about 12903.3772323373. The cubic root of 166497144 is about 550.1345610155.

The spelling of 166497144 in words is "one hundred sixty-six million, four hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 9413 17688 18826 28239 37652 56478 75304 103543 112956 207086 225912 310629 414172 621258 630671 828344 1242516 1261342 1892013 2485032 2522684 3784026 5045368 6937381 7568052 13874762 15136104 20812143 27749524 41624286 55499048 83248572 166497144