Search a number
-
+
17004005382 = 2372139294789
BaseRepresentation
bin11111101011000010…
…01000100000000110
31121220001000222021010
433311201020200012
5234311011133012
611451142503050
71141242442500
oct176541104006
947801028233
1017004005382
117236354a11
123366734a86
1317aca96560
14b74442d70
15697c18c3c
hex3f5848806

17004005382 has 96 divisors (see below), whose sum is σ = 42658207200. Its totient is φ = 4478810112.

The previous prime is 17004005339. The next prime is 17004005437. The reversal of 17004005382 is 28350040071.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548244 + ... + 3553032.

It is an arithmetic number, because the mean of its divisors is an integer number (444356325).

Almost surely, 217004005382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17004005382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21329103600).

17004005382 is an abundant number, since it is smaller than the sum of its proper divisors (25654201818).

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

17004005382 is a wasteful number, since it uses less digits than its factorization.

17004005382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 17004005382 in words is "seventeen billion, four million, five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 929 1274 1858 1911 2787 3822 4789 5574 6503 9578 12077 13006 14367 19509 24154 28734 33523 36231 39018 45521 62257 67046 72462 84539 91042 100569 124514 136563 169078 186771 201138 234661 253617 273126 373542 435799 469322 507234 591773 703983 871598 1183546 1307397 1407966 1775319 2614794 3050593 3550638 4448981 6101186 8897962 9151779 13346943 18303558 26693886 31142867 57836753 62285734 93428601 115673506 173510259 186857202 218000069 347020518 404857271 436000138 654000207 809714542 1214571813 1308000414 2429143626 2834000897 5668001794 8502002691 17004005382