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56820216882 = 231113313116869
BaseRepresentation
bin110100111010101111…
…111011010000110010
312102122220021002100010
4310322233323100302
51412331433420012
642034114235350
74051025605662
oct647257732062
9172586232303
1056820216882
1122108592a30
12b018b85b56
135486a49710
142a7044c1a2
1517284e9c3c
hexd3abfb432

56820216882 has 128 divisors (see below), whose sum is σ = 138277601280. Its totient is φ = 15329376000.

The previous prime is 56820216881. The next prime is 56820216907. The reversal of 56820216882 is 28861202865.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56820216881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8268544 + ... + 8275412.

It is an arithmetic number, because the mean of its divisors is an integer number (1080293760).

Almost surely, 256820216882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56820216882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69138800640).

56820216882 is an abundant number, since it is smaller than the sum of its proper divisors (81457384398).

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

56820216882 is a wasteful number, since it uses less digits than its factorization.

56820216882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240.

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 56820216882 in words is "fifty-six billion, eight hundred twenty million, two hundred sixteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 311 341 403 429 622 682 806 858 933 1023 1209 1866 2046 2418 3421 4043 4433 6842 6869 8086 8866 9641 10263 12129 13299 13738 19282 20526 20607 24258 26598 28923 41214 44473 57846 75559 88946 89297 106051 125333 133419 151118 178594 212102 212939 226677 250666 266838 267891 318153 375999 425878 453354 535782 636306 638817 751998 982267 1277634 1378663 1964534 2136259 2342329 2757326 2768207 2946801 4135989 4272518 4684658 5536414 5893602 6408777 7026987 8271978 8304621 12817554 14053974 16609242 23498849 27771367 30450277 46997698 55542734 60900554 66224029 70496547 83314101 91350831 132448058 140993094 166628202 182701662 198672087 305485037 397344174 610970074 728464319 860912377 916455111 1456928638 1721824754 1832910222 2185392957 2582737131 4370785914 5165474262 9470036147 18940072294 28410108441 56820216882