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8066822040 = 2332534076577
BaseRepresentation
bin1111000001101000…
…11110111110011000
3202211012011000111200
413200310132332120
5113010101301130
63412243554200
7403621566414
oct74064367630
922735130450
108066822040
11346a568882
12169168b960
139b733b2a4
145674ddd44
153232e9760
hex1e0d1ef98

8066822040 has 96 divisors (see below), whose sum is σ = 26228854080. Its totient is φ = 2150194176.

The previous prime is 8066822021. The next prime is 8066822053. The reversal of 8066822040 is 402286608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8066821986 and 8066822004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223232 + ... + 1229808.

It is an arithmetic number, because the mean of its divisors is an integer number (273217230).

Almost surely, 28066822040 is an apocalyptic number.

It is an amenable number.

8066822040 is an abundant number, since it is smaller than the sum of its proper divisors (18162032040).

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

8066822040 is a wasteful number, since it uses less digits than its factorization.

8066822040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8066822040 is about 89815.4888646719. The cubic root of 8066822040 is about 2005.5530707661.

The spelling of 8066822040 in words is "eight billion, sixty-six million, eight hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3407 6577 6814 10221 13154 13628 17035 19731 20442 26308 27256 30663 32885 34070 39462 40884 51105 52616 59193 61326 65770 68140 78924 81768 98655 102210 118386 122652 131540 136280 153315 157848 197310 204420 236772 245304 263080 295965 306630 394620 408840 473544 591930 613260 789240 1183860 1226520 2367720 22407839 44815678 67223517 89631356 112039195 134447034 179262712 201670551 224078390 268894068 336117585 403341102 448156780 537788136 672235170 806682204 896313560 1008352755 1344470340 1613364408 2016705510 2688940680 4033411020 8066822040