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4428730885464 = 233447491296159
BaseRepresentation
bin100000001110010010011…
…1011100110010101011000
3120200101022212111021110000
41000130210323212111120
51040030020101313324
613230310400453000
7634652036256444
oct100344473462530
916611285437400
104428730885464
11145823a145506
125b639901a160
132618208b8c02
141144cd189824
157a304d8d9c9
hex40724ee6558

4428730885464 has 160 divisors (see below), whose sum is σ = 12694317926400. Its totient is φ = 1441886685120.

The previous prime is 4428730885433. The next prime is 4428730885487. The reversal of 4428730885464 is 4645880378244.

It is a happy number.

4428730885464 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 7 + 3 + 0 + 88 + 546 + 4 = 666.

It is a super-2 number, since 2×44287308854642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14805817 + ... + 15101975.

It is an arithmetic number, because the mean of its divisors is an integer number (79339487040).

Almost surely, 24428730885464 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 4428730885464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347158963200).

4428730885464 is an abundant number, since it is smaller than the sum of its proper divisors (8265587040936).

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

4428730885464 is a wasteful number, since it uses less digits than its factorization.

4428730885464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296715 (or 296702 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 4428730885464 in words is "four trillion, four hundred twenty-eight billion, seven hundred thirty million, eight hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 491 564 648 846 982 1128 1269 1473 1692 1964 2538 2946 3384 3807 3928 4419 5076 5892 7614 8838 10152 11784 13257 15228 17676 23077 26514 30456 35352 39771 46154 53028 69231 79542 92308 106056 138462 159084 184616 207693 276924 296159 318168 415386 553848 592318 623079 830772 888477 1184636 1246158 1661544 1776954 1869237 2369272 2492316 2665431 3553908 3738474 4984632 5330862 7107816 7476948 7996293 10661724 13919473 14953896 15992586 21323448 23988879 27838946 31985172 41758419 47977758 55677892 63970344 83516838 95955516 111355784 125275257 145414069 167033676 191911032 250550514 290828138 334067352 375825771 436242207 501101028 581656276 751651542 872484414 1002202056 1127477313 1163312552 1308726621 1503303084 1744968828 2254954626 2617453242 3006606168 3489937656 3926179863 4509909252 5234906484 6834461243 7852359726 9019818504 10469812968 11778539589 13668922486 15704719452 20503383729 23557079178 27337844972 31409438904 41006767458 47114158356 54675689944 61510151187 82013534916 94228316712 123020302374 164027069832 184530453561 246040604748 369060907122 492081209496 553591360683 738121814244 1107182721366 1476243628488 2214365442732 4428730885464