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1965163564 = 2271311347777
BaseRepresentation
bin111010100100010…
…0000010000101100
312001221210122121201
41311020200100230
513011040213224
6523000135244
766461420560
oct16510402054
95057718551
101965163564
11919313521
1246a167524
1325419aba0
14148dcb6a0
15b77d0a44
hex7522042c

1965163564 has 48 divisors (see below), whose sum is σ = 4270206528. Its totient is φ = 770531328.

The previous prime is 1965163549. The next prime is 1965163663. The reversal of 1965163564 is 4653615691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17244 + ... + 65020.

It is an arithmetic number, because the mean of its divisors is an integer number (88962636).

Almost surely, 21965163564 is an apocalyptic number.

1965163564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965163564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135103264).

1965163564 is an abundant number, since it is smaller than the sum of its proper divisors (2305042964).

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

1965163564 is a wasteful number, since it uses less digits than its factorization.

1965163564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47914 (or 47912 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The square root of 1965163564 is about 44330.1653955859. The cubic root of 1965163564 is about 1252.5629683497.

The spelling of 1965163564 in words is "one billion, nine hundred sixty-five million, one hundred sixty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 182 226 364 452 791 1469 1582 2938 3164 5876 10283 20566 41132 47777 95554 191108 334439 621101 668878 1242202 1337756 2484404 4347707 5398801 8695414 10797602 17390828 21595204 37791607 70184413 75583214 140368826 151166428 280737652 491290891 982581782 1965163564