Search a number
-
+
17132983434 = 2347149101399
BaseRepresentation
bin11111111010011010…
…01001010010001010
31122020000201201220000
433331031021102022
5240042020432214
611512031143430
71144366646010
oct177515112212
948200651800
1017132983434
1172a2139046
1233a1974b76
131800714b28
14b876188b0
156a41e4809
hex3fd34948a

17132983434 has 80 divisors (see below), whose sum is σ = 44169840000. Its totient is φ = 4862236896.

The previous prime is 17132983409. The next prime is 17132983447. The reversal of 17132983434 is 43438923171.

17132983434 is a `hidden beast` number, since 1 + 7 + 13 + 298 + 343 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 17132983434.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118267 + ... + 219665.

It is an arithmetic number, because the mean of its divisors is an integer number (552123000).

Almost surely, 217132983434 is an apocalyptic number.

17132983434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17132983434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084920000).

17132983434 is an abundant number, since it is smaller than the sum of its proper divisors (27036856566).

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

17132983434 is a wasteful number, since it uses less digits than its factorization.

17132983434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101569 (or 101560 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 17132983434 in words is "seventeen billion, one hundred thirty-two million, nine hundred eighty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 149 162 189 298 378 447 567 894 1043 1134 1341 2086 2682 3129 4023 6258 8046 9387 12069 18774 24138 28161 56322 84483 101399 168966 202798 304197 608394 709793 912591 1419586 1825182 2129379 2737773 4258758 5475546 6388137 8213319 12776274 15108451 16426638 19164411 30216902 38328822 45325353 57493233 90650706 105759157 114986466 135976059 211518314 271952118 317277471 407928177 634554942 815856354 951832413 1223784531 1903664826 2447569062 2855497239 5710994478 8566491717 17132983434