Search a number
-
+
1058626013584 = 242953263163679
BaseRepresentation
bin11110110011110110000…
…01110000100110010000
310202012111110121111012111
433121323001300212100
5114321031224413314
62130154233235104
7136324511434306
oct17317301604620
93665443544174
101058626013584
11378a62871697
12151203862a94
1378a9c1848c9
143934863a276
151c80d561ec4
hexf67b070990

1058626013584 has 80 divisors (see below), whose sum is σ = 2170082534400. Its totient is φ = 499508592128.

The previous prime is 1058626013581. The next prime is 1058626013603. The reversal of 1058626013584 is 4853106268501.

It is a super-2 number, since 2×10586260135842 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058626013581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6385857 + ... + 6549535.

It is an arithmetic number, because the mean of its divisors is an integer number (27126031680).

Almost surely, 21058626013584 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 1058626013584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085041267200).

1058626013584 is an abundant number, since it is smaller than the sum of its proper divisors (1111456520816).

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

1058626013584 is a wasteful number, since it uses less digits than its factorization.

1058626013584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164032 (or 164026 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 1058626013584 in words is "one trillion, fifty-eight billion, six hundred twenty-six million, thirteen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 263 424 464 526 848 1052 1537 2104 3074 4208 6148 7627 12296 13939 15254 24592 27878 30508 55756 61016 111512 122032 163679 223024 327358 404231 654716 808462 1309432 1616924 2618864 3233848 4746691 6467696 8674987 9493382 17349974 18986764 34699948 37973528 43047577 69399896 75947056 86095154 138799792 172190308 251574623 344380616 503149246 688761232 1006298492 1248379733 2012596984 2281521581 2496759466 4025193968 4563043162 4993518932 9126086324 9987037864 18252172648 19974075728 36504345296 66164125849 132328251698 264656503396 529313006792 1058626013584