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5345056464 = 2431149920287
BaseRepresentation
bin1001111101001011…
…10001011011010000
3111210111200000001020
410332211301123100
541421313301324
62242215035440
7246312141666
oct47645613320
914714600036
105345056464
1122a3166040
12105206bb80
136724a3907
14389c42c36
152143b5679
hex13e9716d0

5345056464 has 80 divisors (see below), whose sum is σ = 15094272000. Its totient is φ = 1616388480.

The previous prime is 5345056447. The next prime is 5345056511. The reversal of 5345056464 is 4646505435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253329 + ... + 273615.

It is an arithmetic number, because the mean of its divisors is an integer number (188678400).

Almost surely, 25345056464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547136000).

5345056464 is an abundant number, since it is smaller than the sum of its proper divisors (9749215536).

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

5345056464 is a wasteful number, since it uses less digits than its factorization.

5345056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20808 (or 20802 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The square root of 5345056464 is about 73109.8930651659. The cubic root of 5345056464 is about 1748.4401299073.

The spelling of 5345056464 in words is "five billion, three hundred forty-five million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 499 528 998 1497 1996 2994 3992 5489 5988 7984 10978 11976 16467 20287 21956 23952 32934 40574 43912 60861 65868 81148 87824 121722 131736 162296 223157 243444 263472 324592 446314 486888 669471 892628 973776 1338942 1785256 2677884 3570512 5355768 10123213 10711536 20246426 30369639 40492852 60739278 80985704 111355343 121478556 161971408 222710686 242957112 334066029 445421372 485914224 668132058 890842744 1336264116 1781685488 2672528232 5345056464