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56064270336 = 213310920929
BaseRepresentation
bin110100001101101100…
…001110000000000000
312100201012211000121220
4310031230032000000
51404304423122321
641431111515040
74023216302124
oct641554160000
9170635730556
1056064270336
112185a901118
12aa47988a80
13539624c379
1429dbcad584
1516d1e759c6
hexd0db0e000

56064270336 has 112 divisors (see below), whose sum is σ = 150874323600. Its totient is φ = 18515755008.

The previous prime is 56064270331. The next prime is 56064270341. The reversal of 56064270336 is 63307246065.

It is an interprime number because it is at equal distance from previous prime (56064270331) and next prime (56064270341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56064270331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668320 + ... + 2689248.

It is an arithmetic number, because the mean of its divisors is an integer number (1347092175).

Almost surely, 256064270336 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 56064270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75437161800).

56064270336 is an abundant number, since it is smaller than the sum of its proper divisors (94810053264).

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

56064270336 is a wasteful number, since it uses less digits than its factorization.

56064270336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21043 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 56064270336 in words is "fifty-six billion, sixty-four million, two hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1024 1308 1536 1744 2048 2616 3072 3488 4096 5232 6144 6976 8192 10464 12288 13952 20928 20929 24576 27904 41856 41858 55808 62787 83712 83716 111616 125574 167424 167432 223232 251148 334848 334864 446464 502296 669696 669728 892928 1004592 1339392 1339456 2009184 2281261 2678784 2678912 4018368 4562522 5357824 6843783 8036736 9125044 10715648 13687566 16073472 18250088 21431296 27375132 32146944 36500176 42862592 54750264 64293888 73000352 85725184 109500528 128587776 146000704 171450368 219001056 257175552 292001408 438002112 514351104 584002816 876004224 1168005632 1752008448 2336011264 3504016896 4672022528 7008033792 9344045056 14016067584 18688090112 28032135168 56064270336