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5856217664 = 261117643761
BaseRepresentation
bin1010111010000111…
…01100101001000000
3120010010111200101112
411131003230221000
543443142431124
62405035022452
7265060012613
oct53503545100
916103450345
105856217664
112535756010
12117529aa28
13724365c6b
143d7aa217a
152441d590e
hex15d0eca40

5856217664 has 112 divisors (see below), whose sum is σ = 13461650496. Its totient is φ = 2498150400.

The previous prime is 5856217583. The next prime is 5856217667. The reversal of 5856217664 is 4667126585.

It is not an unprimeable number, because it can be changed into a prime (5856217667) 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, 7695044 + ... + 7695804.

It is an arithmetic number, because the mean of its divisors is an integer number (120193308).

Almost surely, 25856217664 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 5856217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730825248).

5856217664 is an abundant number, since it is smaller than the sum of its proper divisors (7605432832).

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

5856217664 is a wasteful number, since it uses less digits than its factorization.

5856217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The square root of 5856217664 is about 76525.9280505634. The cubic root of 5856217664 is about 1802.4880884201.

The spelling of 5856217664 in words is "five billion, eight hundred fifty-six million, two hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 643 704 748 761 1088 1286 1496 1522 2572 2992 3044 5144 5984 6088 7073 8371 10288 10931 11968 12176 12937 14146 16742 20576 21862 24352 25874 28292 33484 41152 43724 48704 51748 56584 66968 87448 103496 113168 120241 133936 142307 174896 206992 226336 240482 267872 284614 349792 413984 452672 480964 489323 535744 569228 699584 827968 961928 978646 1138456 1923856 1957292 2276912 3847712 3914584 4553824 5382553 7695424 7829168 8318491 9107648 10765106 15658336 16636982 21530212 31316672 33273964 43060424 66547928 86120848 91503401 133095856 172241696 183006802 266191712 344483392 366013604 532383424 732027208 1464054416 2928108832 5856217664