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22768064371872 = 25325310911367203
BaseRepresentation
bin1010010110101000110100…
…11000111001110010100000
32222121121100112221002121200
411023110122120321302200
510441012443434344442
6120231300540121200
74536636600664311
oct513243230716240
988547315832550
1022768064371872
117288977859516
12267872a836200
13c920334031a1
14589da1928608
152973b263234c
hex14b51a639ca0

22768064371872 has 144 divisors (see below), whose sum is σ = 66028832801568. Its totient is φ = 7439328898560.

The previous prime is 22768064371853. The next prime is 22768064371903. The reversal of 22768064371872 is 27817346086722.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15969423 + ... + 17336625.

It is an arithmetic number, because the mean of its divisors is an integer number (458533561122).

Almost surely, 222768064371872 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 22768064371872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014416400784).

22768064371872 is an abundant number, since it is smaller than the sum of its proper divisors (43260768429696).

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

22768064371872 is a wasteful number, since it uses less digits than its factorization.

22768064371872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368363 (or 1368352 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 22768064371872 in words is "twenty-two trillion, seven hundred sixty-eight billion, sixty-four million, three hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1091 1272 1696 1908 2182 2544 3273 3816 4364 5088 6546 7632 8728 9819 13092 15264 17456 19638 26184 34912 39276 52368 57823 78552 104736 115646 157104 173469 231292 314208 346938 462584 520407 693876 925168 1040814 1367203 1387752 1850336 2081628 2734406 2775504 4101609 4163256 5468812 5551008 8203218 8326512 10937624 12304827 16406436 16653024 21875248 24609654 32812872 43750496 49219308 65625744 72461759 98438616 131251488 144923518 196877232 217385277 289847036 393754464 434770554 579694072 652155831 869541108 1159388144 1304311662 1491618473 1739082216 2318776288 2608623324 2983236946 3478164432 4474855419 5217246648 5966473892 6956328864 8949710838 10434493296 11932947784 13424566257 17899421676 20868986592 23865895568 26849132514 35798843352 47731791136 53698265028 71597686704 79055779069 107396530056 143195373408 158111558138 214793060112 237167337207 316223116276 429586120224 474334674414 632446232552 711502011621 948669348828 1264892465104 1423004023242 1897338697656 2529784930208 2846008046484 3794677395312 5692016092968 7589354790624 11384032185936 22768064371872