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11688636996 = 22323724872
BaseRepresentation
bin10101110001011001…
…00111001001000100
31010011121020021121100
422320230213021010
5142414242340441
65211504020100
7562440526611
oct127054471104
933147207540
1011688636996
114a58a26a83
122322601630
1311437b896a
147cc52b508
15486269cb6
hex2b8b27244

11688636996 has 81 divisors (see below), whose sum is σ = 30428889309. Its totient is φ = 3783125088.

The previous prime is 11688636989. The next prime is 11688637027. The reversal of 11688636996 is 69963688611.

The square root of 11688636996 is 108114.

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., 10459152900 + 1229484096 = 102270^2 + 35064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24001065 + ... + 24001551.

Almost surely, 211688636996 is an apocalyptic number.

11688636996 is the 108114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11688636996

11688636996 is an abundant number, since it is smaller than the sum of its proper divisors (18740252313).

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

11688636996 is an equidigital number, since it uses as much as digits as its factorization.

11688636996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 11688636996 in words is "eleven billion, six hundred eighty-eight million, six hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 487 666 974 1332 1369 1461 1948 2738 2922 4107 4383 5476 5844 8214 8766 12321 16428 17532 18019 24642 36038 49284 54057 72076 108114 162171 216228 237169 324342 474338 648684 666703 711507 948676 1333406 1423014 2000109 2134521 2666812 2846028 4000218 4269042 6000327 8000436 8538084 8775253 12000654 17550506 24001308 26325759 35101012 52651518 78977277 105303036 157954554 315909108 324684361 649368722 974053083 1298737444 1948106166 2922159249 3896212332 5844318498 11688636996