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1361851164 = 2233174611609
BaseRepresentation
bin101000100101100…
…0011001100011100
310111220120012121000
41101023003030130
510242113214124
6343045110300
745514354362
oct12113031434
93456505530
101361851164
11639802a33
123200b8390
131891b26bb
14ccc21632
157e85b6c9
hex512c331c

1361851164 has 96 divisors (see below), whose sum is σ = 3748852800. Its totient is φ = 426055680.

The previous prime is 1361851159. The next prime is 1361851187. The reversal of 1361851164 is 4611581631.

It is a happy number.

1361851164 is a `hidden beast` number, since 136 + 1 + 8 + 511 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 845592 + ... + 847200.

It is an arithmetic number, because the mean of its divisors is an integer number (39050550).

Almost surely, 21361851164 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 1361851164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874426400).

1361851164 is an abundant number, since it is smaller than the sum of its proper divisors (2387001636).

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

1361851164 is a wasteful number, since it uses less digits than its factorization.

1361851164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1361851164 is about 36903.2676601951. The cubic root of 1361851164 is about 1108.4341105015.

The spelling of 1361851164 in words is "one billion, three hundred sixty-one million, eight hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 461 612 918 922 1383 1609 1836 1844 2766 3218 4149 4827 5532 6436 7837 8298 9654 12447 14481 15674 16596 19308 23511 24894 27353 28962 31348 43443 47022 49788 54706 57924 70533 82059 86886 94044 109412 141066 164118 173772 211599 246177 282132 328236 423198 492354 738531 741749 846396 984708 1477062 1483498 2225247 2954124 2966996 4450494 6675741 8900988 12609733 13351482 20027223 25219466 26702964 37829199 40054446 50438932 75658398 80108892 113487597 151316796 226975194 340462791 453950388 680925582 1361851164