Search a number
-
+
56879888208 = 243111331726141
BaseRepresentation
bin110100111110010011…
…100011011101010000
312102211001112201000020
4310332103203131100
51412442222410313
642044045223440
74052352033603
oct647623433520
9172731481006
1056879888208
1122139239980
12b034b61b80
13549620cbb0
142a7834233a
15172d885323
hexd3e4e3750

56879888208 has 160 divisors (see below), whose sum is σ = 173179665792. Its totient is φ = 15859660800.

The previous prime is 56879888167. The next prime is 56879888269. The reversal of 56879888208 is 80288897865.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162818 + ... + 2188958.

Almost surely, 256879888208 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 56879888208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86589832896).

56879888208 is an abundant number, since it is smaller than the sum of its proper divisors (116299777584).

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

56879888208 is a wasteful number, since it uses less digits than its factorization.

56879888208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26493 (or 26487 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 69.

The spelling of 56879888208 in words is "fifty-six billion, eight hundred seventy-nine million, eight hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 317 429 528 572 624 634 858 951 1144 1268 1716 1902 2288 2536 3432 3487 3804 4121 5072 6864 6974 7608 8242 10461 12363 13948 15216 16484 20922 24726 26141 27896 32968 41844 45331 49452 52282 55792 65936 78423 83688 90662 98904 104564 135993 156846 167376 181324 197808 209128 271986 287551 313692 339833 362648 418256 543972 575102 627384 679666 725296 862653 1019499 1087944 1150204 1254768 1359332 1725306 2038998 2175888 2300408 2718664 3450612 3738163 4077996 4600816 5437328 6901224 7476326 8155992 8286697 11214489 13802448 14952652 16311984 16573394 22428978 24860091 29905304 33146788 44857956 49720182 59810608 66293576 89715912 91153667 99440364 107727061 132587152 179431824 182307334 198880728 215454122 273461001 323181183 364614668 397761456 430908244 546922002 646362366 729229336 861816488 1093844004 1184997671 1292724732 1458458672 1723632976 2187688008 2369995342 2585449464 3554993013 4375376016 4739990684 5170898928 7109986026 9479981368 14219972052 18959962736 28439944104 56879888208