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8664161742 = 23229127130693
BaseRepresentation
bin10000001000110110…
…01001110111001110
3211100211011000112100
420010123021313032
5120221011133432
63551423015530
7424464105525
oct100433116716
924324130470
108664161742
113746769a55
12181973a5a6
13a81015032
145c29934bc
1535a98e07c
hex2046c9dce

8664161742 has 48 divisors (see below), whose sum is σ = 19572733440. Its totient is φ = 2766488256.

The previous prime is 8664161711. The next prime is 8664161743. The reversal of 8664161742 is 2471614668.

8664161742 is a `hidden beast` number, since 8 + 66 + 416 + 174 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8664161743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948 + ... + 131640.

It is an arithmetic number, because the mean of its divisors is an integer number (407765280).

Almost surely, 28664161742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8664161742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786366720).

8664161742 is an abundant number, since it is smaller than the sum of its proper divisors (10908571698).

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

8664161742 is a wasteful number, since it uses less digits than its factorization.

8664161742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130857 (or 130854 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8664161742 is about 93081.4790492717. The cubic root of 8664161742 is about 2053.8821334197.

The spelling of 8664161742 in words is "eight billion, six hundred sixty-four million, one hundred sixty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 127 174 254 261 381 522 762 1143 2286 3683 7366 11049 22098 33147 66294 130693 261386 392079 784158 1176237 2352474 3790097 7580194 11370291 16598011 22740582 33196022 34110873 49794033 68221746 99588066 149382099 298764198 481342319 962684638 1444026957 2888053914 4332080871 8664161742