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1099779066 = 23371793631
BaseRepresentation
bin100000110001101…
…0100101111111010
32211122102120021000
41001203110233322
54223020412231
6301044025430
736152652651
oct10143245772
92748376230
101099779066
11514884321
12268392276
13146b04259
14a60c2198
15668406e6
hex418d4bfa

1099779066 has 64 divisors (see below), whose sum is σ = 2510438400. Its totient is φ = 356756400.

The previous prime is 1099779059. The next prime is 1099779067. The reversal of 1099779066 is 6609779901.

1099779066 is digitally balanced in base 4, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (1099779067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301071 + ... + 304701.

It is an arithmetic number, because the mean of its divisors is an integer number (39225600).

Almost surely, 21099779066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099779066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255219200).

1099779066 is an abundant number, since it is smaller than the sum of its proper divisors (1410659334).

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

1099779066 is a wasteful number, since it uses less digits than its factorization.

1099779066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 1099779066 is about 33162.9170309248. The cubic root of 1099779066 is about 1032.2109999880.

The spelling of 1099779066 in words is "one billion, ninety-nine million, seven hundred seventy-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 71 79 142 158 213 237 426 474 639 711 1278 1422 1917 2133 3631 3834 4266 5609 7262 10893 11218 16827 21786 32679 33654 50481 65358 98037 100962 151443 196074 257801 286849 302886 515602 573698 773403 860547 1546806 1721094 2320209 2581641 4640418 5163282 6960627 7744923 13921254 15489846 20366279 40732558 61098837 122197674 183296511 366593022 549889533 1099779066