Search a number
-
+
21317836608 = 26344112237
BaseRepresentation
bin10011110110101001…
…000101111101000000
32001000200021022020000
4103312221011331000
5322124331232413
613443203120000
71353163423065
oct236651057500
961020238200
1021317836608
11904a3aa192
12416b373000
132019719403
14106332ac6c
1584b7d1073
hex4f6a45f40

21317836608 has 70 divisors (see below), whose sum is σ = 63192761346. Its totient is φ = 7105943808.

The previous prime is 21317836583. The next prime is 21317836633. The reversal of 21317836608 is 80663871312.

21317836608 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 7 + 8 + 36 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (21317836583) and next prime (21317836633).

It can be written as a sum of positive squares in only one way, i.e., 18733944384 + 2583892224 = 136872^2 + 50832^2 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2050935 + ... + 2061302.

Almost surely, 221317836608 is an apocalyptic number.

It is an amenable number.

21317836608 is an abundant number, since it is smaller than the sum of its proper divisors (41874924738).

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

21317836608 is an equidigital number, since it uses as much as digits as its factorization.

21317836608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112261 (or 4112242 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21317836608 in words is "twenty-one billion, three hundred seventeen million, eight hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 4112237 8224474 12336711 16448948 24673422 32897896 37010133 49346844 65795792 74020266 98693688 111030399 131591584 148040532 197387376 222060798 263183168 296081064 333091197 394774752 444121596 592162128 666182394 789549504 888243192 1184324256 1332364788 1776486384 2368648512 2664729576 3552972768 5329459152 7105945536 10658918304 21317836608