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1361053566 = 232237734253
BaseRepresentation
bin101000100100000…
…0000011101111110
310111212001200111100
41101020000131332
510241412203231
6343020033530
745504523125
oct12110003576
93455050440
101361053566
11639308764
1231b9928a6
13188c93652
14cca94abc
157e7501e6
hex5120077e

1361053566 has 48 divisors (see below), whose sum is σ = 3081869856. Its totient is φ = 433295808.

The previous prime is 1361053559. The next prime is 1361053571. The reversal of 1361053566 is 6653501631.

1361053566 is a `hidden beast` number, since 1 + 3 + 61 + 0 + 535 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1361053566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317896 + ... + 322148.

It is an arithmetic number, because the mean of its divisors is an integer number (64205622).

Almost surely, 21361053566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361053566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540934928).

1361053566 is an abundant number, since it is smaller than the sum of its proper divisors (1720816290).

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

1361053566 is a wasteful number, since it uses less digits than its factorization.

1361053566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1361053566 is about 36892.4594734480. The cubic root of 1361053566 is about 1108.2176753276.

It can be divided in two parts, 13610 and 53566, that added together give a palindrome (67176).

The spelling of 1361053566 in words is "one billion, three hundred sixty-one million, fifty-three thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 773 1546 2319 4253 4638 6957 8506 12759 13914 17779 25518 35558 38277 53337 76554 97819 106674 160011 195638 293457 320022 586914 880371 1760742 3287569 6575138 9862707 19725414 29588121 59176242 75614087 151228174 226842261 453684522 680526783 1361053566