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5859253098 = 234192100189
BaseRepresentation
bin1010111010011110…
…10001101101101010
3120010100012220020000
411131033101231222
543444432044343
62405224043430
7265124554356
oct53517215552
916110186200
105859253098
112537439636
121176303576
13724b8978a
143d8252466
152445d4ed3
hex15d3d1b6a

5859253098 has 60 divisors (see below), whose sum is σ = 13856577570. Its totient is φ = 1850271984.

The previous prime is 5859253091. The next prime is 5859253109. The reversal of 5859253098 is 8903529585.

5859253098 is a `hidden beast` number, since 58 + 59 + 2 + 530 + 9 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5584124529 + 275128569 = 74727^2 + 16587^2 .

It is a super-3 number, since 3×58592530983 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5859253091) 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 29 ways as a sum of consecutive naturals, for example, 8388 + ... + 108576.

Almost surely, 25859253098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5859253098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928288785).

5859253098 is an abundant number, since it is smaller than the sum of its proper divisors (7997324472).

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

5859253098 is a wasteful number, since it uses less digits than its factorization.

5859253098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100241 (or 100213 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The square root of 5859253098 is about 76545.7581973031. The cubic root of 5859253098 is about 1802.7994605322.

The spelling of 5859253098 in words is "five billion, eight hundred fifty-nine million, two hundred fifty-three thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3078 3249 6498 9747 19494 29241 58482 100189 200378 300567 601134 901701 1803402 1903591 2705103 3807182 5410206 5710773 8115309 11421546 16230618 17132319 34264638 36168229 51396957 72336458 102793914 108504687 154190871 217009374 308381742 325514061 651028122 976542183 1953084366 2929626549 5859253098