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83327967090 = 23254737951977
BaseRepresentation
bin100110110011010111…
…0111101111101110010
321222002021021022121100
41031212232331331302
52331123424421330
6102140315305230
76006642014364
oct1154656757562
9258067238540
1083327967090
1132380513005
121419644b216
137b1c759a04
144066b54d34
15227a748060
hex1366bbdf72

83327967090 has 96 divisors (see below), whose sum is σ = 221850420480. Its totient is φ = 21690208512.

The previous prime is 83327967071. The next prime is 83327967161. The reversal of 83327967090 is 9076972338.

83327967090 is a `hidden beast` number, since 83 + 327 + 96 + 70 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577182 + ... + 1629158.

It is an arithmetic number, because the mean of its divisors is an integer number (2310941880).

Almost surely, 283327967090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83327967090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110925210240).

83327967090 is an abundant number, since it is smaller than the sum of its proper divisors (138522453390).

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

83327967090 is a wasteful number, since it uses less digits than its factorization.

83327967090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52416 (or 52413 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 83327967090 in words is "eighty-three billion, three hundred twenty-seven million, nine hundred sixty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 379 423 470 705 758 846 1137 1410 1895 2115 2274 3411 3790 4230 5685 6822 11370 17055 17813 34110 35626 51977 53439 89065 103954 106878 155931 160317 178130 259885 267195 311862 320634 467793 519770 534390 779655 801585 935586 1559310 1603170 2338965 2442919 4677930 4885838 7328757 12214595 14657514 19699283 21986271 24429190 36643785 39398566 43972542 59097849 73287570 98496415 109931355 118195698 177293547 196992830 219862710 295489245 354587094 590978490 886467735 925866301 1772935470 1851732602 2777598903 4629331505 5555197806 8332796709 9258663010 13887994515 16665593418 27775989030 41663983545 83327967090