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56716116640 = 2552929394159
BaseRepresentation
bin110100110100100010…
…110100001010100000
312102101122101020122121
4310310202310022200
51412123311213030
642015515114024
74045323015511
oct646442641240
9172348336577
1056716116640
1122064850977
12abaa142914
13546b2cb841
142a606b0a08
15171e2d547a
hexd348b42a0

56716116640 has 96 divisors (see below), whose sum is σ = 138692736000. Its totient is φ = 21891437568.

The previous prime is 56716116637. The next prime is 56716116647. The reversal of 56716116640 is 4661161765.

It is not an unprimeable number, because it can be changed into a prime (56716116647) 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, 13634881 + ... + 13639039.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716000).

Almost surely, 256716116640 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 56716116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368000).

56716116640 is an abundant number, since it is smaller than the sum of its proper divisors (81976619360).

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

56716116640 is a wasteful number, since it uses less digits than its factorization.

56716116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 56716116640 in words is "fifty-six billion, seven hundred sixteen million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 2939 4159 4640 5878 8318 11756 14695 16636 20795 23512 29390 33272 41590 47024 58780 66544 83180 85231 94048 117560 120611 133088 166360 170462 235120 241222 332720 340924 426155 470240 482444 603055 665440 681848 852310 964888 1206110 1363696 1704620 1929776 2412220 2727392 3409240 3859552 4824440 6818480 9648880 12223301 13636960 19297760 24446602 48893204 61116505 97786408 122233010 195572816 244466020 354475729 391145632 488932040 708951458 977864080 1417902916 1772378645 1955728160 2835805832 3544757290 5671611664 7089514580 11343223328 14179029160 28358058320 56716116640