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11040606252 = 223213471074691
BaseRepresentation
bin10100100100001001…
…00100100000101100
31001111102211220112200
422102010210200230
5140102343400002
65023314301500
7540411414264
oct122204444054
931442756480
1011040606252
114756152985
122181587890
13106c474110
1476a4407a4
15449410b1c
hex29212482c

11040606252 has 144 divisors (see below), whose sum is σ = 30987919872. Its totient is φ = 3293055360.

The previous prime is 11040606151. The next prime is 11040606277. The reversal of 11040606252 is 25260604011.

11040606252 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 606 + 2 + 52 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2351227 + ... + 2355917.

It is an arithmetic number, because the mean of its divisors is an integer number (215193888).

Almost surely, 211040606252 is an apocalyptic number.

11040606252 is a gapful number since it is divisible by the number (12) 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 11040606252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493959936).

11040606252 is an abundant number, since it is smaller than the sum of its proper divisors (19947313620).

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

11040606252 is a wasteful number, since it uses less digits than its factorization.

11040606252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11040606252 in words is "eleven billion, forty million, six hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 107 117 141 156 188 214 234 282 321 423 428 468 564 611 642 846 963 1222 1284 1391 1692 1833 1926 2444 2782 3666 3852 4173 4691 5029 5499 5564 7332 8346 9382 10058 10998 12519 14073 15087 16692 18764 20116 21996 25038 28146 30174 42219 45261 50076 56292 60348 60983 65377 84438 90522 121966 130754 168876 181044 182949 196131 220477 243932 261508 365898 392262 440954 501937 548847 588393 661431 731796 784524 881908 1003874 1097694 1176786 1322862 1505811 1984293 2007748 2195388 2353572 2645724 2866201 3011622 3968586 4517433 5732402 6023244 6525181 7937172 8598603 9034866 11464804 13050362 17197206 18069732 19575543 23591039 25795809 26100724 34394412 39151086 47182078 51591618 58726629 70773117 78302172 94364156 103183236 117453258 141546234 212319351 234906516 283092468 306683507 424638702 613367014 849277404 920050521 1226734028 1840101042 2760151563 3680202084 5520303126 11040606252