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164507274 = 2341039859
BaseRepresentation
bin10011100111000…
…10111010001010
3102110112211120000
421303202322022
5314103213044
624153543430
74035201021
oct1163427212
9373484500
10164507274
1184950828
1247114b76
132810b1a9
1417bc38b8
15e697d69
hex9ce2e8a

164507274 has 40 divisors (see below), whose sum is σ = 372234720. Its totient is φ = 54297864.

The previous prime is 164507267. The next prime is 164507303. The reversal of 164507274 is 472705461.

164507274 is a `hidden beast` number, since 1 + 645 + 0 + 7 + 2 + 7 + 4 = 666.

164507274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1645072742 = 54125286397822152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11757 + ... + 21615.

It is an arithmetic number, because the mean of its divisors is an integer number (9305868).

Almost surely, 2164507274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164507274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186117360).

164507274 is an abundant number, since it is smaller than the sum of its proper divisors (207727446).

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

164507274 is a wasteful number, since it uses less digits than its factorization.

164507274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 164507274 is about 12826.0389052895. The cubic root of 164507274 is about 547.9341499187.

The spelling of 164507274 in words is "one hundred sixty-four million, five hundred seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 5562 8343 9859 16686 19718 29577 59154 88731 177462 266193 532386 798579 1015477 1597158 2030954 3046431 6092862 9139293 18278586 27417879 54835758 82253637 164507274