Search a number
-
+
59234424032 = 257319538951
BaseRepresentation
bin110111001010101001…
…011001010011100000
312122220011000111221202
4313022221121103200
51432303003032112
643113435140332
74164612203540
oct671251312340
9178804014852
1059234424032
1123137319553
12b5915a46a8
13577cc6ab64
142c1cd29320
15181a42a6c2
hexdcaa594e0

59234424032 has 96 divisors (see below), whose sum is σ = 137736474624. Its totient is φ = 24538752000.

The previous prime is 59234424013. The next prime is 59234424049. The reversal of 59234424032 is 23042443295.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6613157 + ... + 6622107.

It is an arithmetic number, because the mean of its divisors is an integer number (1434754944).

Almost surely, 259234424032 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 59234424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68868237312).

59234424032 is an abundant number, since it is smaller than the sum of its proper divisors (78502050592).

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

59234424032 is a wasteful number, since it uses less digits than its factorization.

59234424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 59234424032 in words is "fifty-nine billion, two hundred thirty-four million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 953 992 1736 1906 3472 3812 6671 6944 7624 8951 13342 15248 17902 26684 29543 30496 35804 53368 59086 62657 71608 106736 118172 125314 143216 206801 213472 236344 250628 277481 286432 413602 472688 501256 554962 827204 945376 1002512 1109924 1654408 1942367 2005024 2219848 3308816 3884734 4439696 6617632 7769468 8530303 8879392 15538936 17060606 31077872 34121212 59712121 62155744 68242424 119424242 136484848 238848484 264439393 272969696 477696968 528878786 955393936 1057757572 1851075751 1910787872 2115515144 3702151502 4231030288 7404303004 8462060576 14808606008 29617212016 59234424032