Search a number
-
+
432813081728096 = 25591823125751079
BaseRepresentation
bin110001001101001000010010…
…1111111011001010001100000
32002202110112012211112002220122
41202122100211333121101200
5423212202142410244341
64132303330154255412
7160110466433440616
oct14232204577312140
92082415184462818
10432813081728096
111159a8aa7249163
12406620a9427568
1315767138486534
1478c439cd6b6b6
1535086dc8be94b
hex189a425fd9460

432813081728096 has 48 divisors (see below), whose sum is σ = 867018486297600. Its totient is φ = 212621934699648.

The previous prime is 432813081728077. The next prime is 432813081728117. The reversal of 432813081728096 is 690827180318234.

It is a congruent number.

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, 59433716 + ... + 66317363.

It is an arithmetic number, because the mean of its divisors is an integer number (18062885131200).

Almost surely, 2432813081728096 is an apocalyptic number.

It is an amenable number.

432813081728096 is an abundant number, since it is smaller than the sum of its proper divisors (434205404569504).

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

432813081728096 is a wasteful number, since it uses less digits than its factorization.

432813081728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125752971 (or 125752963 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 432813081728096 in words is "four hundred thirty-two trillion, eight hundred thirteen billion, eighty-one million, seven hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1823 1888 3646 7292 14584 29168 58336 107557 215114 430228 860456 1720912 3441824 125751079 251502158 503004316 1006008632 2012017264 4024034528 7419313661 14838627322 29677254644 59354509288 118709018576 229244217017 237418037152 458488434034 916976868068 1833953736136 3667907472272 7335814944544 13525408804003 27050817608006 54101635216012 108203270432024 216406540864048 432813081728096