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392246416328 = 23132170332
BaseRepresentation
bin1011011010100111011…
…01010101001111001000
31101111110022211111202012
411231103231111033020
522411310040310303
6500110121555052
740224142345544
oct5552355251710
91344408744665
10392246416328
11141394970208
126402a645a88
132acb1184700
1414db0520a24
15a30ad755d8
hex5b53b553c8

392246416328 has 36 divisors (see below), whose sum is σ = 796434637635. Its totient is φ = 181026178944.

The previous prime is 392246416307. The next prime is 392246416333. The reversal of 392246416328 is 823614642293.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4065082564 + 388181333764 = 63758^2 + 623042^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=442858.

It is a super-2 number, since 2×3922464163282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23020100 + ... + 23037132.

Almost surely, 2392246416328 is an apocalyptic number.

It is an amenable number.

392246416328 is an abundant number, since it is smaller than the sum of its proper divisors (404188221307).

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

392246416328 is an frugal number, since it uses more digits than its factorization.

392246416328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34098 (or 17048 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

Multiplying 392246416328 by its sum of digits (50), we get a square (19612320816400 = 44285802).

The spelling of 392246416328 in words is "three hundred ninety-two billion, two hundred forty-six million, four hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 17033 34066 68132 136264 221429 442858 885716 1771432 2878577 5757154 11514308 23028616 290123089 580246178 1160492356 2320984712 3771600157 7543200314 15086400628 30172801256 49030802041 98061604082 196123208164 392246416328