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56500814601 = 3478112
BaseRepresentation
bin110100100111101101…
…100000001100001001
312101211122020202210000
4310213231200030021
51411203202031401
641542304313213
74040100000000
oct644755401411
9171748222700
1056500814601
1121a64267300
12ab4a012809
13543581759a
142a3dc67c37
15170a457186
hexd27b60309

56500814601 has 135 divisors (see below), whose sum is σ = 108235096893. Its totient is φ = 29351072520.

The previous prime is 56500814599. The next prime is 56500814651. The reversal of 56500814601 is 10641800565.

The square root of 56500814601 is 237699.

It is a perfect power (a square), and thus also a powerful number.

56500814601 is a `hidden beast` number, since 5 + 6 + 500 + 8 + 146 + 0 + 1 = 666.

It is not a de Polignac number, because 56500814601 - 21 = 56500814599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56500814651) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5136437686 + ... + 5136437696.

Almost surely, 256500814601 is an apocalyptic number.

56500814601 is the 237699-th square number.

56500814601 is the 118850-th centered octagonal number.

It is an amenable number.

56500814601 is a deficient number, since it is larger than the sum of its proper divisors (51734282292).

56500814601 is an frugal number, since it uses more digits than its factorization.

56500814601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 56500814601 by its sum of digits (36), we get a square (2034029325636 = 14261942).

The spelling of 56500814601 in words is "fifty-six billion, five hundred million, eight hundred fourteen thousand, six hundred one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 297 343 363 441 539 567 693 847 891 1029 1089 1323 1617 2079 2401 2541 3087 3267 3773 3969 4851 5929 6237 7203 7623 9261 9801 11319 14553 16807 17787 21609 22869 26411 27783 33957 41503 43659 50421 53361 64827 68607 79233 101871 117649 124509 151263 160083 184877 194481 237699 290521 305613 352947 373527 453789 480249 554631 713097 823543 871563 1058841 1120581 1294139 1361367 1663893 2033647 2139291 2470629 2614689 3176523 3361743 3882417 4991679 5764801 6100941 7411887 7844067 9058973 9529569 11647251 14235529 14975037 17294403 18302823 22235661 23532201 27176919 34941753 42706587 51883209 54908469 63412811 66706983 81530757 99648703 104825259 128119761 155649627 164725407 190238433 244592271 298946109 384359283 466948881 570715299 697540921 733776813 896838327 1153077849 1712145897 2092622763 2690514981 5136437691 6277868289 8071544943 18833604867 56500814601