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58559639216 = 24132915976079
BaseRepresentation
bin110110100010011011…
…010010111010110000
312121011010021220012112
4312202123102322300
51424412231423331
642522452144452
74142106502061
oct664233227260
9177133256175
1058559639216
1122920431751
12b423608128
1356a32198c0
142b97476568
1517cb08932b
hexda26d2eb0

58559639216 has 80 divisors (see below), whose sum is σ = 126500236800. Its totient is φ = 26074911744.

The previous prime is 58559639207. The next prime is 58559639249. The reversal of 58559639216 is 61293695585.

58559639216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9630065 + ... + 9636143.

It is an arithmetic number, because the mean of its divisors is an integer number (1581252960).

Almost surely, 258559639216 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 58559639216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63250118400).

58559639216 is an abundant number, since it is smaller than the sum of its proper divisors (67940597584).

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

58559639216 is a wasteful number, since it uses less digits than its factorization.

58559639216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7720 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 59.

The spelling of 58559639216 in words is "fifty-eight billion, five hundred fifty-nine million, six hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 1597 3016 3194 6032 6079 6388 12158 12776 20761 24316 25552 41522 46313 48632 79027 83044 92626 97264 158054 166088 176291 185252 316108 332176 352582 370504 602069 632216 705164 741008 1204138 1264432 1410328 2291783 2408276 2820656 4583566 4816552 9167132 9633104 9708163 18334264 19416326 36668528 38832652 77665304 126206119 155330608 252412238 281536727 504824476 563073454 1009648952 1126146908 2019297904 2252293816 3659977451 4504587632 7319954902 14639909804 29279819608 58559639216