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21406834456 = 23710110313671
BaseRepresentation
bin10011111011111100…
…100101111100011000
32001020212201212022121
4103323330211330120
5322320122200311
613500102431024
71355324043040
oct237374457430
961225655277
1021406834456
119095666627
124195132474
132031caa167
141071096720
15854510b71
hex4fbf25f18

21406834456 has 64 divisors (see below), whose sum is σ = 46383528960. Its totient is φ = 9072240000.

The previous prime is 21406834453. The next prime is 21406834487. The reversal of 21406834456 is 65443860412.

It is a super-2 number, since 2×214068344562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21406834453) 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, 5829501 + ... + 5833171.

It is an arithmetic number, because the mean of its divisors is an integer number (724742640).

Almost surely, 221406834456 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 21406834456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191764480).

21406834456 is an abundant number, since it is smaller than the sum of its proper divisors (24976694504).

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

21406834456 is a wasteful number, since it uses less digits than its factorization.

21406834456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 21406834456 in words is "twenty-one billion, four hundred six million, eight hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1031 1414 2062 2828 3671 4124 5656 7217 7342 8248 14434 14684 25697 28868 29368 51394 57736 102788 104131 205576 208262 370771 416524 728917 741542 833048 1457834 1483084 2595397 2915668 2966168 3784801 5190794 5831336 7569602 10381588 15139204 20763176 26493607 30278408 52987214 105974428 211948856 382264901 764529802 1529059604 2675854307 3058119208 5351708614 10703417228 21406834456