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22746364416 = 293241120397
BaseRepresentation
bin10101001011110010…
…011111101000000000
32011201020022000222100
4111023302133220000
5333041032130131
614241033310400
71433450623146
oct251362375000
964636260870
1022746364416
119712803286
1244a9865400
1321b6675a39
14115ad47596
158d1e0d7e6
hex54bc9fa00

22746364416 has 120 divisors (see below), whose sum is σ = 67249266084. Its totient is φ = 7397130240.

The previous prime is 22746364393. The next prime is 22746364427. The reversal of 22746364416 is 61446364722.

22746364416 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 636 + 4 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22500000000 + 246364416 = 150000^2 + 15696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128730 + ... + 249126.

Almost surely, 222746364416 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 22746364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624633042).

22746364416 is an abundant number, since it is smaller than the sum of its proper divisors (44502901668).

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

22746364416 is a wasteful number, since it uses less digits than its factorization.

22746364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120462 (or 120443 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 22746364416 in words is "twenty-two billion, seven hundred forty-six million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11808 15744 20992 23616 31488 47232 62976 94464 120397 188928 240794 361191 481588 722382 963176 1083573 1444764 1926352 2167146 2889528 3852704 4334292 4936277 5779056 7705408 8668584 9872554 11558112 14808831 15410816 17337168 19745108 23116224 29617662 30821632 34674336 39490216 44426493 46232448 59235324 61643264 69348672 78980432 88852986 92464896 118470648 138697344 157960864 177705972 184929792 236941296 277394688 315921728 355411944 473882592 554789376 631843456 710823888 947765184 1263686912 1421647776 1895530368 2527373824 2843295552 3791060736 5686591104 7582121472 11373182208 22746364416