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2164534512 = 24378097963
BaseRepresentation
bin1000000100000100…
…0010110011110000
312120211221202010220
42001001002303300
513413110101022
6554441253040
7104432145150
oct20101026360
95524852126
102164534512
11a109068a8
12504a94180
13286594a6a
14167688760
15ca06385c
hex81042cf0

2164534512 has 80 divisors (see below), whose sum is σ = 6399233280. Its totient is φ = 617596416.

The previous prime is 2164534499. The next prime is 2164534513. The reversal of 2164534512 is 2154354612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164534513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267843 + ... + 275805.

It is an arithmetic number, because the mean of its divisors is an integer number (79990416).

Almost surely, 22164534512 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 2164534512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199616640).

2164534512 is an abundant number, since it is smaller than the sum of its proper divisors (4234698768).

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

2164534512 is a wasteful number, since it uses less digits than its factorization.

2164534512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8784 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2164534512 is about 46524.5581601803. The cubic root of 2164534512 is about 1293.5647475046.

The spelling of 2164534512 in words is "two billion, one hundred sixty-four million, five hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 809 1618 2427 3236 4854 5663 6472 7963 9708 11326 12944 15926 16989 19416 22652 23889 31852 33978 38832 45304 47778 55741 63704 67956 90608 95556 111482 127408 135912 167223 191112 222964 271824 334446 382224 445928 668892 891856 1337784 2675568 6442067 12884134 19326201 25768268 38652402 45094469 51536536 77304804 90188938 103073072 135283407 154609608 180377876 270566814 309219216 360755752 541133628 721511504 1082267256 2164534512