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8022696066 = 23271117220029
BaseRepresentation
bin1110111100011000…
…01010000010000010
3202201010010012001100
413132030022002002
5112412302233231
63404030115230
7402544535310
oct73614120202
922633105040
108022696066
11344766a330
12167a94bb16
139ab15b748
145616d50b0
1531e4d01e6
hex1de30a082

8022696066 has 144 divisors (see below), whose sum is σ = 23022642240. Its totient is φ = 1961141760.

The previous prime is 8022696053. The next prime is 8022696089. The reversal of 8022696066 is 6606962208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390540 + ... + 410568.

It is an arithmetic number, because the mean of its divisors is an integer number (159879460).

Almost surely, 28022696066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8022696066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511321120).

8022696066 is an abundant number, since it is smaller than the sum of its proper divisors (14999946174).

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

8022696066 is a wasteful number, since it uses less digits than its factorization.

8022696066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8022696066 is about 89569.5041071458. The cubic root of 8022696066 is about 2001.8895530657.

The spelling of 8022696066 in words is "eight billion, twenty-two million, six hundred ninety-six thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 289 306 357 374 462 561 578 693 714 867 1071 1122 1309 1386 1683 1734 2023 2142 2601 2618 3179 3366 3927 4046 5202 6069 6358 7854 9537 11781 12138 18207 19074 20029 22253 23562 28611 36414 40058 44506 57222 60087 66759 120174 133518 140203 180261 200277 220319 280406 340493 360522 400554 420609 440638 660957 680986 841218 1021479 1261827 1321914 1542233 1982871 2042958 2383451 2523654 3064437 3084466 3745423 3965742 4626699 4766902 5788381 6128874 7150353 7490846 9253398 11236269 11576762 13880097 14300706 17365143 21451059 22472538 26217961 27760194 33708807 34730286 40518667 42902118 52095429 52435922 63672191 67417614 78653883 81037334 104190858 121556001 127344382 157307766 191016573 235961649 243112002 364668003 382033146 445705337 471923298 573049719 729336006 891410674 1146099438 1337116011 2674232022 4011348033 8022696066