Search a number
-
+
2421710016 = 263111318753
BaseRepresentation
bin1001000001011000…
…0101110011000000
320020202212121121120
42100112011303000
514424424210031
61040145352240
7114004124025
oct22026056300
96222777546
102421710016
111032aa0640
12577038680
132c794a50b
1418d8b154c
15e2913a96
hex90585cc0

2421710016 has 112 divisors (see below), whose sum is σ = 7044098688. Its totient is φ = 728166400.

The previous prime is 2421709937. The next prime is 2421710021. The reversal of 2421710016 is 6100171242.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 272296 + ... + 281048.

Almost surely, 22421710016 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 2421710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522049344).

2421710016 is an abundant number, since it is smaller than the sum of its proper divisors (4622388672).

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

2421710016 is a wasteful number, since it uses less digits than its factorization.

2421710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2421710016 is about 49210.8729449092. The cubic root of 2421710016 is about 1342.8908436906.

Adding to 2421710016 its reverse (6100171242), we get a palindrome (8521881258).

The spelling of 2421710016 in words is "two billion, four hundred twenty-one million, seven hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 704 786 1048 1056 1441 1572 2096 2112 2882 3144 4192 4323 5764 6288 8384 8646 8753 11528 12576 17292 17506 23056 25152 26259 34584 35012 46112 52518 69168 70024 92224 96283 105036 138336 140048 192566 210072 276672 280096 288849 385132 420144 560192 577698 770264 840288 1146643 1155396 1540528 1680576 2293286 2310792 3081056 3439929 4586572 4621584 6162112 6879858 9173144 9243168 12613073 13759716 18346288 18486336 25226146 27519432 36692576 37839219 50452292 55038864 73385152 75678438 100904584 110077728 151356876 201809168 220155456 302713752 403618336 605427504 807236672 1210855008 2421710016