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56055601104 = 24323834611327
BaseRepresentation
bin110100001101001011…
…001001011111010000
312100200121111120200020
4310031023021133100
51404300213213404
641430202023440
74023052514316
oct641513113720
9170617446606
1056055601104
1121855a1a868
12aa44aa7b80
135394505449
1429daa940b6
1516d1311ed9
hexd0d2c97d0

56055601104 has 160 divisors (see below), whose sum is σ = 153374183424. Its totient is φ = 17605885440.

The previous prime is 56055601073. The next prime is 56055601123. The reversal of 56055601104 is 40110655065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42241689 + ... + 42243015.

Almost surely, 256055601104 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 56055601104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687091712).

56055601104 is an abundant number, since it is smaller than the sum of its proper divisors (97318582320).

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

56055601104 is a wasteful number, since it uses less digits than its factorization.

56055601104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 56055601104 in words is "fifty-six billion, fifty-five million, six hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 461 498 552 664 922 996 1104 1327 1328 1383 1844 1909 1992 2654 2766 3688 3818 3981 3984 5308 5532 5727 7376 7636 7962 10603 10616 11064 11454 15272 15924 21206 21232 22128 22908 30521 30544 31809 31848 38263 42412 45816 61042 63618 63696 76526 84824 91563 91632 110141 114789 122084 127236 153052 169648 183126 220282 229578 244168 254472 306104 330423 366252 440564 459156 488336 508944 611747 612208 660846 732504 880049 881128 918312 1223494 1321692 1465008 1760098 1762256 1835241 1836624 2446988 2533243 2640147 2643384 3520196 3670482 4893976 5066486 5280294 5286768 7040392 7340964 7599729 9787952 10132972 10560588 14070181 14080784 14681928 15199458 20265944 21121176 28140362 29363856 30398916 40531888 42210543 42242352 50775001 56280724 60797832 84421086 101550002 112561448 121595664 152325003 168842172 203100004 225122896 304650006 337684344 406200008 609300012 675368688 812400016 1167825023 1218600024 2335650046 2437200048 3503475069 4671300092 7006950138 9342600184 14013900276 18685200368 28027800552 56055601104