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8019906390 = 23556614993
BaseRepresentation
bin1110111100000011…
…00000111101010110
3202200220212110100000
413132001200331112
5112411044001030
63403450232130
7402512036166
oct73601407526
922626773300
108019906390
113446034411
121679a25646
139aa6c2a52
145611aa5a6
1531e12d860
hex1de060f56

8019906390 has 96 divisors (see below), whose sum is σ = 21661095456. Its totient is φ = 2134978560.

The previous prime is 8019906379. The next prime is 8019906397. The reversal of 8019906390 is 936099108.

8019906390 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 9 + 0 + 639 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8019906397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603734 + ... + 1608726.

It is an arithmetic number, because the mean of its divisors is an integer number (225636411).

Almost surely, 28019906390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8019906390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830547728).

8019906390 is an abundant number, since it is smaller than the sum of its proper divisors (13641189066).

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

8019906390 is a wasteful number, since it uses less digits than its factorization.

8019906390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 8019906390 is about 89553.9300645148. The cubic root of 8019906390 is about 2001.6574918143.

The spelling of 8019906390 in words is "eight billion, nineteen million, nine hundred six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 661 810 1215 1322 1983 2430 3305 3966 4993 5949 6610 9915 9986 11898 14979 17847 19830 24965 29745 29958 35694 44937 49930 53541 59490 74895 89235 89874 107082 134811 149790 160623 178470 224685 267705 269622 321246 404433 449370 535410 674055 803115 808866 1213299 1348110 1606230 2022165 2426598 3300373 4044330 6066495 6600746 9901119 12132990 16501865 19802238 29703357 33003730 49505595 59406714 89110071 99011190 148516785 178220142 267330213 297033570 445550355 534660426 801990639 891100710 1336651065 1603981278 2673302130 4009953195 8019906390