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19820840094 = 2321147245317
BaseRepresentation
bin10010011101011010…
…100000010010011110
31220011100102000001200
4102131122200102132
5311043113340334
613034445220330
71301115234546
oct223532402236
956140360050
1019820840094
118451390590
123a11b616a6
131b3b539263
14d605aa326
157b017b799
hex49d6a049e

19820840094 has 72 divisors (see below), whose sum is σ = 47868315768. Its totient is φ = 5878391520.

The previous prime is 19820840063. The next prime is 19820840189. The reversal of 19820840094 is 49004802891.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 414724 + ... + 460040.

It is an arithmetic number, because the mean of its divisors is an integer number (664837719).

Almost surely, 219820840094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820840094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23934157884).

19820840094 is an abundant number, since it is smaller than the sum of its proper divisors (28047475674).

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

19820840094 is a wasteful number, since it uses less digits than its factorization.

19820840094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45430 (or 45380 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19820840094 in words is "nineteen billion, eight hundred twenty million, eight hundred forty thousand, ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 2209 3102 4418 4653 6627 9306 13254 19881 24299 39762 45317 48598 72897 90634 135951 145794 218691 271902 407853 437382 498487 815706 996974 1495461 2129899 2990922 4259798 4486383 6389697 8972766 12779394 19169091 23428889 38338182 46857778 70286667 100105253 140573334 200210506 210860001 300315759 421720002 600631518 900947277 1101157783 1801894554 2202315566 3303473349 6606946698 9910420047 19820840094