Search a number
-
+
56555576028 = 2235740920323
BaseRepresentation
bin110100101010111110…
…011001101011011100
312101222110021221100000
4310222332121223130
51411311211413103
641551542134300
74041333315210
oct645276315334
9171873257300
1056555576028
1121a9216a386
12ab64421390
135443c7bcb3
142a47240940
151710172aa3
hexd2af99adc

56555576028 has 144 divisors (see below), whose sum is σ = 169856610560. Its totient is φ = 16118434944.

The previous prime is 56555576023. The next prime is 56555576057. The reversal of 56555576028 is 82067555565.

56555576028 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 557 + 60 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56555576023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2772675 + ... + 2792997.

Almost surely, 256555576028 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 56555576028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84928305280).

56555576028 is an abundant number, since it is smaller than the sum of its proper divisors (113301034532).

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

56555576028 is a wasteful number, since it uses less digits than its factorization.

56555576028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20758 (or 20744 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 56555576028 in words is "fifty-six billion, five hundred fifty-five million, five hundred seventy-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 409 486 567 756 818 972 1134 1227 1636 1701 2268 2454 2863 3402 3681 4908 5726 6804 7362 8589 11043 11452 14724 17178 20323 22086 25767 33129 34356 40646 44172 51534 60969 66258 77301 81292 99387 103068 121938 132516 142261 154602 182907 198774 231903 243876 284522 309204 365814 397548 426783 463806 548721 569044 695709 731628 853566 927612 1097442 1280349 1391418 1646163 1707132 2194884 2560698 2782836 3292326 3841047 4938489 5121396 6584652 7682094 8312107 9876978 11523141 15364188 16624214 19753956 23046282 24936321 33248428 34569423 46092564 49872642 58184749 69138846 74808963 99745284 116369498 138277692 149617926 174554247 224426889 232738996 299235852 349108494 448853778 523662741 673280667 698216988 897707556 1047325482 1346561334 1570988223 2019842001 2094650964 2693122668 3141976446 4039684002 4712964669 6283952892 8079368004 9425929338 14138894007 18851858676 28277788014 56555576028