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11040945076 = 2272957123813
BaseRepresentation
bin10100100100001011…
…10111001110110100
31001111110111010022201
422102011313032310
5140102440220301
65023325434244
7540414325150
oct122205671664
931443433281
1011040945076
1147563644a7
12218170b984
13106c5623c5
1476a4cc060
1544947b201
hex2921773b4

11040945076 has 48 divisors (see below), whose sum is σ = 22884301440. Its totient is φ = 4560474240.

The previous prime is 11040945059. The next prime is 11040945109. The reversal of 11040945076 is 67054904011.

11040945076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 451746 + ... + 475558.

It is an arithmetic number, because the mean of its divisors is an integer number (476756280).

Almost surely, 211040945076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040945076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442150720).

11040945076 is an abundant number, since it is smaller than the sum of its proper divisors (11843356364).

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

11040945076 is a wasteful number, since it uses less digits than its factorization.

11040945076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424 (or 24422 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 11040945076 in words is "eleven billion, forty million, nine hundred forty-five thousand, seventy-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 571 812 1142 2284 3997 7994 15988 16559 23813 33118 47626 66236 95252 115913 166691 231826 333382 463652 666764 690577 1381154 2762308 4834039 9668078 13597223 19336156 27194446 54388892 95180561 190361122 380722244 394319467 788638934 1577277868 2760236269 5520472538 11040945076