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164214450264 = 23336911853771
BaseRepresentation
bin1001100011101111110…
…0011010100001011000
3120200212101110101220110
42120323330122201120
510142302344402024
6203234501324320
714602246540134
oct2307374324130
9520771411813
10164214450264
116370885a007
12279ab1066a0
1312640434987
147d3b52c3c4
154411973629
hex263bf1a858

164214450264 has 32 divisors (see below), whose sum is σ = 410647573440. Its totient is φ = 54723290400.

The previous prime is 164214450247. The next prime is 164214450271. The reversal of 164214450264 is 462054412461.

164214450264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838302 + ... + 1015469.

It is an arithmetic number, because the mean of its divisors is an integer number (12832736670).

Almost surely, 2164214450264 is an apocalyptic number.

It is an amenable number.

164214450264 is an abundant number, since it is smaller than the sum of its proper divisors (246433123176).

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

164214450264 is a wasteful number, since it uses less digits than its factorization.

164214450264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857471 (or 1857467 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 164214450264 in words is "one hundred sixty-four billion, two hundred fourteen million, four hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 3691 7382 11073 14764 22146 29528 44292 88584 1853771 3707542 5561313 7415084 11122626 14830168 22245252 44490504 6842268761 13684537522 20526806283 27369075044 41053612566 54738150088 82107225132 164214450264