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11465245660 = 225114310911119
BaseRepresentation
bin10101010110110000…
…11100001111011100
31002121000212211022011
422223120130033130
5141440100330120
65133404001004
7554055660121
oct125330341734
932530784264
1011465245660
114953917840
12227b830164
13110943173b
147aa9ba748
1547183ec5a
hex2ab61c3dc

11465245660 has 96 divisors (see below), whose sum is σ = 27125683200. Its totient is φ = 4034499840.

The previous prime is 11465245637. The next prime is 11465245691. The reversal of 11465245660 is 6654256411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025581 + ... + 1036699.

It is an arithmetic number, because the mean of its divisors is an integer number (282559200).

Almost surely, 211465245660 is an apocalyptic number.

11465245660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11465245660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562841600).

11465245660 is an abundant number, since it is smaller than the sum of its proper divisors (15660437540).

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

11465245660 is a wasteful number, since it uses less digits than its factorization.

11465245660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 11465245660 in words is "eleven billion, four hundred sixty-five million, two hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 109 110 172 215 218 220 430 436 473 545 860 946 1090 1199 1892 2180 2365 2398 4687 4730 4796 5995 9374 9460 11119 11990 18748 22238 23435 23980 44476 46870 51557 55595 93740 103114 111190 122309 206228 222380 244618 257785 478117 489236 515570 611545 956234 1031140 1211971 1223090 1912468 2390585 2423942 2446180 4781170 4847884 5259287 6059855 9562340 10518574 12119710 13331681 21037148 24239420 26296435 26663362 52114753 52592870 53326724 66658405 104229506 105185740 133316810 208459012 260573765 266633620 521147530 573262283 1042295060 1146524566 2293049132 2866311415 5732622830 11465245660