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11661115660 = 2251775745307
BaseRepresentation
bin10101101110000111…
…01000000100001100
31010002200110001102121
422313003220010030
5142340221200120
65205042102324
7561654563515
oct126703500414
933080401377
1011661115660
114a44439877
12231534a9a4
13113aba0c4c
147c8a05a0c
15483b305aa
hex2b70e810c

11661115660 has 48 divisors (see below), whose sum is σ = 25963658784. Its totient is φ = 4384171008.

The previous prime is 11661115633. The next prime is 11661115663. The reversal of 11661115660 is 6651116611.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11661115663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234727 + ... + 280033.

It is an arithmetic number, because the mean of its divisors is an integer number (540909558).

Almost surely, 211661115660 is an apocalyptic number.

11661115660 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 11661115660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981829392).

11661115660 is an abundant number, since it is smaller than the sum of its proper divisors (14302543124).

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

11661115660 is a wasteful number, since it uses less digits than its factorization.

11661115660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46090 (or 46088 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11661115660 in words is "eleven billion, six hundred sixty-one million, one hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 757 1514 3028 3785 7570 12869 15140 25738 45307 51476 64345 90614 128690 181228 226535 257380 453070 770219 906140 1540438 3080876 3851095 7702190 15404380 34297399 68594798 137189596 171486995 342973990 583055783 685947980 1166111566 2332223132 2915278915 5830557830 11661115660