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11032665140 = 22571073072399
BaseRepresentation
bin10100100011001100…
…10001110000110100
31001110212220110101102
422101212101300310
5140043330241030
65022432145232
7540254051330
oct122146216064
931425813342
1011032665140
114751719682
12217a998218
13106a923733
147693747c0
15448892c45
hex291991c34

11032665140 has 96 divisors (see below), whose sum is σ = 26824089600. Its totient is φ = 3733513344.

The previous prime is 11032665109. The next prime is 11032665157. The reversal of 11032665140 is 4156623011.

It is a happy number.

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, 4597661 + ... + 4600059.

It is an arithmetic number, because the mean of its divisors is an integer number (279417600).

Almost surely, 211032665140 is an apocalyptic number.

11032665140 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 11032665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412044800).

11032665140 is an abundant number, since it is smaller than the sum of its proper divisors (15791424460).

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

11032665140 is a wasteful number, since it uses less digits than its factorization.

11032665140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 11032665140 in words is "eleven billion, thirty-two million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 307 428 535 614 749 1070 1228 1498 1535 2140 2149 2399 2996 3070 3745 4298 4798 6140 7490 8596 9596 10745 11995 14980 16793 21490 23990 32849 33586 42980 47980 65698 67172 83965 131396 164245 167930 229943 256693 328490 335860 459886 513386 656980 736493 919772 1026772 1149715 1283465 1472986 1796851 2299430 2566930 2945972 3593702 3682465 4598860 5133860 5155451 7187404 7364930 8984255 10310902 14729860 17968510 20621804 25777255 35937020 51554510 78804751 103109020 157609502 315219004 394023755 551633257 788047510 1103266514 1576095020 2206533028 2758166285 5516332570 11032665140