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11662704036 = 22324124392
BaseRepresentation
bin10101101110010011…
…01011110110100100
31010002210102202021100
422313021223312210
5142341123012121
65205140120100
7562004230404
oct126711536644
933083382240
1011662704036
114a45324185
122315996030
13113b308c09
147c8cda804
15483d46026
hex2b726bda4

11662704036 has 81 divisors (see below), whose sum is σ = 30286292673. Its totient is φ = 3784109760.

The previous prime is 11662703999. The next prime is 11662704059. The reversal of 11662704036 is 63040726611.

It is a happy number.

The square root of 11662704036 is 107994.

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., 561974436 + 11100729600 = 23706^2 + 105360^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26566305 + ... + 26566743.

Almost surely, 211662704036 is an apocalyptic number.

11662704036 is the 107994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662704036

11662704036 is an abundant number, since it is smaller than the sum of its proper divisors (18623588637).

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

11662704036 is an equidigital number, since it uses as much as digits as its factorization.

11662704036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 11662704036 by its sum of digits (36), we get a square (419857345296 = 6479642).

11662704036 divided by its sum of digits (36) gives a square (323964001 = 179992).

The spelling of 11662704036 in words is "eleven billion, six hundred sixty-two million, seven hundred four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 439 492 738 878 1317 1476 1681 1756 2634 3362 3951 5043 5268 6724 7902 10086 15129 15804 17999 20172 30258 35998 53997 60516 71996 107994 161991 192721 215988 323982 385442 578163 647964 737959 770884 1156326 1475918 1734489 2213877 2312652 2951836 3468978 4427754 6641631 6937956 7901561 8855508 13283262 15803122 23704683 26566524 31606244 47409366 71114049 94818732 142228098 284456196 323964001 647928002 971892003 1295856004 1943784006 2915676009 3887568012 5831352018 11662704036