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216020765154568 = 2311109129191743241
BaseRepresentation
bin110001000111100001000000…
…111110001001110100001000
31001022212101100112201000021211
4301013201000332021310020
5211303241011334421233
62043234323002542504
763333661640254453
oct6107410076116410
91038771315630254
10216020765154568
116291598a309790
122028a331207a34
13936c8948243aa
143b4b6646c249a
1519e92e0e785cd
hexc47840f89d08

216020765154568 has 64 divisors (see below), whose sum is σ = 445949195472000. Its totient is φ = 97282833062400.

The previous prime is 216020765154563. The next prime is 216020765154577. The reversal of 216020765154568 is 865451567020612.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (216020765154563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123047428 + ... + 124790668.

It is an arithmetic number, because the mean of its divisors is an integer number (6967956179250).

Almost surely, 2216020765154568 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 216020765154568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222974597736000).

216020765154568 is an abundant number, since it is smaller than the sum of its proper divisors (229928430317432).

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

216020765154568 is a wasteful number, since it uses less digits than its factorization.

216020765154568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756286 (or 1756282 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 216020765154568 in words is "two hundred sixteen trillion, twenty billion, seven hundred sixty-five million, one hundred fifty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1199 2398 4796 9592 12919 25838 51676 103352 142109 284218 568436 1136872 1408171 1743241 2816342 3486482 5632684 6972964 11265368 13945928 15489881 19175651 30979762 38351302 61959524 76702604 123919048 153405208 190013269 380026538 760053076 1520106152 2090145959 4180291918 8360583836 16721167672 22520930479 45041860958 90083721916 180167443832 247730235269 495460470538 990920941076 1981841882152 2454781422211 4909562844422 9819125688844 19638251377688 27002595644321 54005191288642 108010382577284 216020765154568