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21714456016 = 2411837691933
BaseRepresentation
bin10100001110010010…
…000100110111010000
32002001022120122202201
4110032102010313100
5323432400043031
613550412052544
71366050554641
oct241622046720
962038518681
1021714456016
119233276220
124260164154
132080946056
14109dc916c8
15871527d61
hex50e484dd0

21714456016 has 80 divisors (see below), whose sum is σ = 46533896640. Its totient is φ = 9733570560.

The previous prime is 21714456011. The next prime is 21714456017. The reversal of 21714456016 is 61065441712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21714456011) 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, 11232586 + ... + 11234518.

It is an arithmetic number, because the mean of its divisors is an integer number (581673708).

Almost surely, 221714456016 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 21714456016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266948320).

21714456016 is an abundant number, since it is smaller than the sum of its proper divisors (24819440624).

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

21714456016 is a wasteful number, since it uses less digits than its factorization.

21714456016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 21714456016 its reverse (61065441712), we get a palindrome (82779897728).

The spelling of 21714456016 in words is "twenty-one billion, seven hundred fourteen million, four hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 769 913 1328 1538 1826 1933 3076 3652 3866 6152 7304 7732 8459 12304 14608 15464 16918 21263 30928 33836 42526 63827 67672 85052 127654 135344 160439 170104 255308 320878 340208 510616 641756 702097 1021232 1283512 1404194 1486477 1764829 2567024 2808388 2972954 3529658 5616776 5945908 7059316 11233552 11891816 14118632 16351247 23783632 28237264 32702494 65404988 123377591 130809976 246755182 261619952 493510364 987020728 1357153501 1974041456 2714307002 5428614004 10857228008 21714456016