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564054011616 = 253142716692467
BaseRepresentation
bin10000011010101000011…
…11010010111011100000
31222220220220010122110010
420031110033102323200
533220140311332431
61111042311004520
755515532664034
oct10152417227340
91886826118403
10564054011616
111a823986a487
1291398669740
134126175a9b4
141d42c28a1c4
15ea14229846
hex83543d2ee0

564054011616 has 96 divisors (see below), whose sum is σ = 1483168095360. Its totient is φ = 187697558016.

The previous prime is 564054011567. The next prime is 564054011621. The reversal of 564054011616 is 616110450465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 228638415 + ... + 228640881.

It is an arithmetic number, because the mean of its divisors is an integer number (15449667660).

Almost surely, 2564054011616 is an apocalyptic number.

It is an amenable number.

564054011616 is an abundant number, since it is smaller than the sum of its proper divisors (919114083744).

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

564054011616 is a wasteful number, since it uses less digits than its factorization.

564054011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 564054011616 in words is "five hundred sixty-four billion, fifty-four million, eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1427 1669 2467 2854 3338 4281 4934 5007 5708 6676 7401 8562 9868 10014 11416 13352 14802 17124 19736 20028 22832 26704 29604 34248 39472 40056 45664 53408 59208 68496 78944 80112 118416 136992 160224 236832 2381663 3520409 4117423 4763326 7040818 7144989 8234846 9526652 10561227 12352269 14081636 14289978 16469692 19053304 21122454 24704538 28163272 28579956 32939384 38106608 42244908 49409076 56326544 57159912 65878768 76213216 84489816 98818152 112653088 114319824 131757536 168979632 197636304 228639648 337959264 395272608 5875562621 11751125242 17626687863 23502250484 35253375726 47004500968 70506751452 94009001936 141013502904 188018003872 282027005808 564054011616