Search a number
-
+
3874268202717 = 311266194117159
BaseRepresentation
bin111000011000001100011…
…000010100011011011101
3111201101011102010121201110
4320120030120110123131
51001434000124441332
612123451513132233
7546622656236343
oct70301430243335
914641142117643
103874268202717
111264082442400
12526a386ba079
1322145a28c353
14d5730a81993
156aba2be94cc
hex3860c6146dd

3874268202717 has 48 divisors (see below), whose sum is σ = 5692955748480. Its totient is φ = 2341861104000.

The previous prime is 3874268202683. The next prime is 3874268202733. The reversal of 3874268202717 is 7172028624783.

It is not a de Polignac number, because 3874268202717 - 26 = 3874268202653 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874268202757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225777784 + ... + 225794942.

It is an arithmetic number, because the mean of its divisors is an integer number (118603244760).

Almost surely, 23874268202717 is an apocalyptic number.

It is an amenable number.

3874268202717 is a deficient number, since it is larger than the sum of its proper divisors (1818687545763).

3874268202717 is a wasteful number, since it uses less digits than its factorization.

3874268202717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18786 (or 18775 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 3874268202717 in words is "three trillion, eight hundred seventy-four billion, two hundred sixty-eight million, two hundred two thousand, seven hundred seventeen".

Divisors: 1 3 11 33 121 363 661 941 1983 2823 7271 10351 17159 21813 31053 51477 79981 113861 188749 239943 341583 566247 622001 1866003 2076239 6228717 6842011 11342099 16146619 20526033 34026297 48439857 75262121 124763089 177612809 225786363 374289267 532838427 1372393979 1953740899 4117181937 5861222697 10672915159 32018745477 117402066749 352206200247 1291422734239 3874268202717