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32428238064 = 24347101142319
BaseRepresentation
bin11110001100110111…
…111010010011110000
310002200222110011210020
4132030313322103300
51012403112104224
622521453403440
72225413322055
oct361467722360
9102628404706
1032428238064
1112830993252
126350199580
13309a489a61
1417d8b3902c
15c9bdcbc79
hex78cdfa4f0

32428238064 has 80 divisors (see below), whose sum is σ = 86403041280. Its totient is φ = 10474604800.

The previous prime is 32428238057. The next prime is 32428238069. The reversal of 32428238064 is 46083282423.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428238069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156697 + ... + 299015.

It is an arithmetic number, because the mean of its divisors is an integer number (1080038016).

Almost surely, 232428238064 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 32428238064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201520640).

32428238064 is an abundant number, since it is smaller than the sum of its proper divisors (53974803216).

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

32428238064 is a wasteful number, since it uses less digits than its factorization.

32428238064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142478 (or 142472 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 32428238064 in words is "thirty-two billion, four hundred twenty-eight million, two hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 101 141 188 202 282 303 376 404 564 606 752 808 1128 1212 1616 2256 2424 4747 4848 9494 14241 18988 28482 37976 56964 75952 113928 142319 227856 284638 426957 569276 853914 1138552 1707828 2277104 3415656 6688993 6831312 13377986 14374219 20066979 26755972 28748438 40133958 43122657 53511944 57496876 80267916 86245314 107023888 114993752 160535832 172490628 229987504 321071664 344981256 675588293 689962512 1351176586 2026764879 2702353172 4053529758 5404706344 8107059516 10809412688 16214119032 32428238064