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284309589642 = 231315734966523
BaseRepresentation
bin1000010001100100010…
…11000000111010001010
31000011212000122121002120
410020302023000322022
514124231223332032
6334335433112110
726353312431621
oct4106213007212
91004760577076
10284309589642
11aa636395811
1247126858636
1320a6c250320
14da9135c6b8
1575dee6d62c
hex42322c0e8a

284309589642 has 64 divisors (see below), whose sum is σ = 618034569600. Its totient is φ = 86672312064.

The previous prime is 284309589601. The next prime is 284309589659. The reversal of 284309589642 is 246985903482.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4240593 + ... + 4307115.

It is an arithmetic number, because the mean of its divisors is an integer number (9656790150).

Almost surely, 2284309589642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284309589642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309017284800).

284309589642 is an abundant number, since it is smaller than the sum of its proper divisors (333724979958).

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

284309589642 is a wasteful number, since it uses less digits than its factorization.

284309589642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67047.

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 284309589642 in words is "two hundred eighty-four billion, three hundred nine million, five hundred eighty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 157 314 349 471 698 942 1047 2041 2094 4082 4537 6123 9074 12246 13611 27222 54793 66523 109586 133046 164379 199569 328758 399138 712309 864799 1424618 1729598 2136927 2594397 4273854 5188794 10444111 20888222 23216527 31332333 46433054 62664666 69649581 135773443 139299162 271546886 301814851 407320329 603629702 814640658 905444553 1810889106 3644994739 7289989478 10934984217 21869968434 47384931607 94769863214 142154794821 284309589642