Search a number
-
+
17959142664 = 233383144179
BaseRepresentation
bin10000101110011100…
…101100010100001000
31201100121021222022000
4100232130230110020
5243240020031124
612130022431000
71204021123341
oct205634542410
951317258260
1017959142664
117686516771
123592592460
131902926748
14c252330c8
157019d76c9
hex42e72c508

17959142664 has 32 divisors (see below), whose sum is σ = 49886508000. Its totient is φ = 5986380816.

The previous prime is 17959142609. The next prime is 17959142671. The reversal of 17959142664 is 46624195971.

17959142664 is a `hidden beast` number, since 1 + 7 + 9 + 591 + 42 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 17959142664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41571874 + ... + 41572305.

It is an arithmetic number, because the mean of its divisors is an integer number (1558953375).

Almost surely, 217959142664 is an apocalyptic number.

It is an amenable number.

17959142664 is an abundant number, since it is smaller than the sum of its proper divisors (31927365336).

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

17959142664 is a wasteful number, since it uses less digits than its factorization.

17959142664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83144194 (or 83144184 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 17959142664 in words is "seventeen billion, nine hundred fifty-nine million, one hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 83144179 166288358 249432537 332576716 498865074 665153432 748297611 997730148 1496595222 1995460296 2244892833 2993190444 4489785666 5986380888 8979571332 17959142664