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4704405081216 = 27371607284267
BaseRepresentation
bin100010001110101010001…
…1001001100110010000000
3121122201220002010102002020
41010131110121030302000
51104034110200044331
614001101315321440
7663611354260041
oct104352431146200
917581802112066
104704405081216
11155414402aa55
1263b8b38b0280
13281814a873b9
141239a16c28c8
158258bb51c96
hex4475464cc80

4704405081216 has 128 divisors (see below), whose sum is σ = 12692998287360. Its totient is φ = 1543496156160.

The previous prime is 4704405081197. The next prime is 4704405081239. The reversal of 4704405081216 is 6121805044074.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16407115 + ... + 16691381.

It is an arithmetic number, because the mean of its divisors is an integer number (99164049120).

Almost surely, 24704405081216 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 4704405081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346499143680).

4704405081216 is an abundant number, since it is smaller than the sum of its proper divisors (7988593206144).

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

4704405081216 is a wasteful number, since it uses less digits than its factorization.

4704405081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284962 (or 284950 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 4704405081216 in words is "four trillion, seven hundred four billion, four hundred five million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 607 852 1136 1214 1704 1821 2272 2428 3408 3642 4544 4856 6816 7284 9088 9712 13632 14568 19424 27264 29136 38848 43097 58272 77696 86194 116544 129291 172388 233088 258582 284267 344776 517164 568534 689552 852801 1034328 1137068 1379104 1705602 2068656 2274136 2758208 3411204 4137312 4548272 5516416 6822408 8274624 9096544 13644816 16549248 18193088 20182957 27289632 36386176 40365914 54579264 60548871 80731828 109158528 121097742 161463656 172550069 242195484 322927312 345100138 484390968 517650207 645854624 690200276 968781936 1035300414 1291709248 1380400552 1937563872 2070600828 2583418496 2760801104 3875127744 4141201656 5521602208 7750255488 8282403312 11043204416 12251054899 16564806624 22086408832 24502109798 33129613248 36753164697 49004219596 66259226496 73506329394 98008439192 147012658788 196016878384 294025317576 392033756768 588050635152 784067513536 1176101270304 1568135027072 2352202540608 4704405081216