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56655312320 = 2653111175113
BaseRepresentation
bin110100110000111010…
…110111010111000000
312102020101222001210202
4310300322313113000
51412012224443240
642005503544332
74043654131445
oct646072672700
9172211861722
1056655312320
11220334a0772
12ab918bb0a8
13545b82c759
142a565a39cc
151718cc4315
hexd30eb75c0

56655312320 has 112 divisors (see below), whose sum is σ = 139414349568. Its totient is φ = 21907169280.

The previous prime is 56655312299. The next prime is 56655312323. The reversal of 56655312320 is 2321355665.

56655312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56655312323) 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, 11078084 + ... + 11083196.

Almost surely, 256655312320 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 56655312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69707174784).

56655312320 is an abundant number, since it is smaller than the sum of its proper divisors (82759037248).

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

56655312320 is a wasteful number, since it uses less digits than its factorization.

56655312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

Adding to 56655312320 its reverse (2321355665), we get a palindrome (58976667985).

The spelling of 56655312320 in words is "fifty-six billion, six hundred fifty-five million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1117 1240 1984 2234 2480 4468 4960 5113 5585 8936 9920 10226 11170 17872 20452 22340 25565 34627 35744 40904 44680 51130 69254 71488 81808 89360 102260 138508 158503 163616 173135 178720 204520 277016 317006 327232 346270 357440 409040 554032 634012 692540 792515 818080 1108064 1268024 1385080 1585030 1636160 2216128 2536048 2770160 3170060 5072096 5540320 5711221 6340120 10144192 11080640 11422442 12680240 22844884 25360480 28556105 45689768 50720960 57112210 91379536 114224420 177047851 182759072 228448840 354095702 365518144 456897680 708191404 885239255 913795360 1416382808 1770478510 1827590720 2832765616 3540957020 5665531232 7081914040 11331062464 14163828080 28327656160 56655312320