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11132743580 = 225782196857
BaseRepresentation
bin10100101111001000…
…00010111110011100
31001201212012222012022
422113210002332130
5140244440243310
65040405155312
7542610521240
oct122744027634
931655188168
1011132743580
1147a3164032
1221a83bbb38
131085593b4a
14778786420
15452560a55
hex297902f9c

11132743580 has 48 divisors (see below), whose sum is σ = 26751404736. Its totient is φ = 3812252160.

The previous prime is 11132743579. The next prime is 11132743597. The reversal of 11132743580 is 8534723111.

11132743580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11132743580.

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 15 ways as a sum of consecutive naturals, for example, 66512 + ... + 163368.

It is an arithmetic number, because the mean of its divisors is an integer number (557320932).

Almost surely, 211132743580 is an apocalyptic number.

11132743580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132743580 is an abundant number, since it is smaller than the sum of its proper divisors (15618661156).

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

11132743580 is a wasteful number, since it uses less digits than its factorization.

11132743580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97694 (or 97692 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 11132743580 in words is "eleven billion, one hundred thirty-two million, seven hundred forty-three thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 821 1642 3284 4105 5747 8210 11494 16420 22988 28735 57470 96857 114940 193714 387428 484285 677999 968570 1355998 1937140 2711996 3389995 6779990 13559980 79519597 159039194 318078388 397597985 556637179 795195970 1113274358 1590391940 2226548716 2783185895 5566371790 11132743580