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83848403688 = 23372383186161
BaseRepresentation
bin100111000010111000…
…0010001101011101000
322000102112120020101220
41032011300101223220
52333210142404223
6102304110142040
76025561446300
oct1160560215350
9260375506356
1083848403688
11326182687a5
12143007b1920
137ba3518b6a
1440b5d0a600
1522ab29b6e3
hex1385c11ae8

83848403688 has 96 divisors (see below), whose sum is σ = 244482831360. Its totient is φ = 23894008320.

The previous prime is 83848403671. The next prime is 83848403693. The reversal of 83848403688 is 88630484838.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 357328 + ... + 543488.

It is an arithmetic number, because the mean of its divisors is an integer number (2546696160).

Almost surely, 283848403688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83848403688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122241415680).

83848403688 is an abundant number, since it is smaller than the sum of its proper divisors (160634427672).

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

83848403688 is a wasteful number, since it uses less digits than its factorization.

83848403688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186567 (or 186556 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 83848403688 in words is "eighty-three billion, eight hundred forty-eight million, four hundred three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 383 392 588 766 1149 1176 1532 2298 2681 3064 4596 5362 8043 9192 10724 16086 18767 21448 32172 37534 56301 64344 75068 112602 150136 186161 225204 372322 450408 558483 744644 1116966 1303127 1489288 2233932 2606254 3909381 4467864 5212508 7818762 9121889 10425016 15637524 18243778 27365667 31275048 36487556 54731334 71299663 72975112 109462668 142599326 213898989 218925336 285198652 427797978 499097641 570397304 855595956 998195282 1497292923 1711191912 1996390564 2994585846 3493683487 3992781128 5989171692 6987366974 10481050461 11978343384 13974733948 20962100922 27949467896 41924201844 83848403688