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2091363138 = 23435932
BaseRepresentation
bin111110010100111…
…1010101101000010
312101202021020220000
41330221322231002
513240342110023
6543305100430
7102553202424
oct17451725502
95352236800
102091363138
1198357a097
124a4487716
132743858a7
1415ba7c814
15c390d243
hex7ca7ab42

2091363138 has 30 divisors (see below), whose sum is σ = 4687507209. Its totient is φ = 696927024.

The previous prime is 2091363133. The next prime is 2091363139. The reversal of 2091363138 is 8313631902.

2091363138 is a `hidden beast` number, since 2 + 0 + 9 + 13 + 631 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2019333969 + 72029169 = 44937^2 + 8487^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32337.

It is not an unprimeable number, because it can be changed into a prime (2091363133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 580270 + ... + 583862.

Almost surely, 22091363138 is an apocalyptic number.

2091363138 is an abundant number, since it is smaller than the sum of its proper divisors (2596144071).

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

2091363138 is an frugal number, since it uses more digits than its factorization.

2091363138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2091363138 is about 45731.4239664588. The cubic root of 2091363138 is about 1278.8211676837.

Multiplying 2091363138 by its product of nonzero digits (23328), we get a square (48787319283264 = 69847922).

The spelling of 2091363138 in words is "two billion, ninety-one million, three hundred sixty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 3593 7186 10779 21558 32337 64674 97011 194022 291033 582066 12909649 25819298 38728947 77457894 116186841 232373682 348560523 697121046 1045681569 2091363138