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18986635264 = 21221532
BaseRepresentation
bin10001101011101100…
…010001000000000000
31211000012201000011111
4101223230101000000
5302341034312024
612420005253104
71241335510522
oct215354210000
954005630144
1018986635264
118063508103
12381a704194
131a3776b52c
14cc1899a12
15761ce9a94
hex46bb11000

18986635264 has 39 divisors (see below), whose sum is σ = 37986278533. Its totient is φ = 9488908288.

The previous prime is 18986635177. The next prime is 18986635271. The reversal of 18986635264 is 46253668981.

The square root of 18986635264 is 137792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1401753600 + 17584881664 = 37440^2 + 132608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18986635199 and 18986635208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8817612 + ... + 8819764.

Almost surely, 218986635264 is an apocalyptic number.

18986635264 is the 137792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18986635264

18986635264 is an abundant number, since it is smaller than the sum of its proper divisors (18999643269).

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

18986635264 is an frugal number, since it uses more digits than its factorization.

18986635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 2155 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The spelling of 18986635264 in words is "eighteen billion, nine hundred eighty-six million, six hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2153 4096 4306 8612 17224 34448 68896 137792 275584 551168 1102336 2204672 4409344 4635409 8818688 9270818 18541636 37083272 74166544 148333088 296666176 593332352 1186664704 2373329408 4746658816 9493317632 18986635264