Search a number
-
+
58426528752 = 24322922976091
BaseRepresentation
bin110110011010011111…
…100001001111110000
312120210211211011222100
4312122133201033300
51424124142410002
642501335140400
74135602204654
oct663237411760
9176724734870
1058426528752
11228622858a9
12b3a6b14700
135681782407
142b83906a64
1517be54411c
hexd9a7e13f0

58426528752 has 120 divisors (see below), whose sum is σ = 169252939440. Its totient is φ = 18792668160.

The previous prime is 58426528747. The next prime is 58426528789. The reversal of 58426528752 is 25782562485.

58426528752 is a `hidden beast` number, since 5 + 8 + 42 + 6 + 528 + 75 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9589227 + ... + 9595317.

It is an arithmetic number, because the mean of its divisors is an integer number (1410441162).

Almost surely, 258426528752 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 58426528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84626469720).

58426528752 is an abundant number, since it is smaller than the sum of its proper divisors (110826410688).

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

58426528752 is a wasteful number, since it uses less digits than its factorization.

58426528752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8422 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 58426528752 in words is "fifty-eight billion, four hundred twenty-six million, five hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2297 4176 4594 6091 6891 9188 12182 13782 18273 18376 20673 24364 27564 36546 36752 41346 48728 54819 55128 66613 73092 82692 97456 109638 110256 133226 146184 165384 176639 199839 219276 266452 292368 330768 353278 399678 438552 529917 532904 599517 706556 799356 877104 1059834 1065808 1199034 1413112 1589751 1598712 2119668 2398068 2826224 3179502 3197424 4239336 4796136 6359004 8478672 9592272 12718008 13991027 25436016 27982054 41973081 55964108 83946162 111928216 125919243 167892324 223856432 251838486 335784648 405739783 503676972 671569296 811479566 1007353944 1217219349 1622959132 2014707888 2434438698 3245918264 3651658047 4868877396 6491836528 7303316094 9737754792 14606632188 19475509584 29213264376 58426528752