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216808775568 = 243271119553461
BaseRepresentation
bin1100100111101011001…
…1110101111110010000
3202201121202221221210200
43021322303311332100
512023011021304233
6243333420255200
721443503120410
oct3117263657620
9681552857720
10216808775568
1183a479a1060
12360289a1500
13175a280b718
14a6ca624640
15598de77313
hex327acf5f90

216808775568 has 120 divisors (see below), whose sum is σ = 756484337856. Its totient is φ = 56313964800.

The previous prime is 216808775567. The next prime is 216808775587. The reversal of 216808775568 is 865577808612.

216808775568 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 0 + 8 + 77 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (216808775567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9765643 + ... + 9787818.

Almost surely, 2216808775568 is an apocalyptic number.

216808775568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216808775568 is an abundant number, since it is smaller than the sum of its proper divisors (539675562288).

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

216808775568 is a wasteful number, since it uses less digits than its factorization.

216808775568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19553493 (or 19553484 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 216808775568 in words is "two hundred sixteen billion, eight hundred eight million, seven hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 19553461 39106922 58660383 78213844 117320766 136874227 156427688 175981149 215088071 234641532 273748454 312855376 351962298 410622681 430176142 469283064 547496908 645264213 703924596 821245362 860352284 938566128 1094993816 1231868043 1290528426 1407849192 1505616497 1642490724 1720704568 1935792639 2189987632 2463736086 2581056852 2815698384 3011232994 3284981448 3441409136 3871585278 4516849491 4927472172 5162113704 6022465988 6569962896 7743170556 9033698982 9854944344 10324227408 12044931976 13550548473 15486341112 18067397964 19709888688 24089863952 27101096946 30972682224 36134795928 54202193892 72269591856 108404387784 216808775568