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9993730104 = 233443596079
BaseRepresentation
bin10010100111010110…
…00011100000111000
3221210110222002110000
421103223003200320
5130431343330404
64331400153000
7502440206241
oct112353034070
927713862400
109993730104
114269222386
121b2aa68760
13c33603687
146ab3adcc8
153d7570339
hex253ac3838

9993730104 has 160 divisors (see below), whose sum is σ = 29132928000. Its totient is φ = 3198097728.

The previous prime is 9993730037. The next prime is 9993730133. The reversal of 9993730104 is 4010373999.

It is a self number, because there is not a number n which added to its sum of digits gives 9993730104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1640937 + ... + 1647015.

It is an arithmetic number, because the mean of its divisors is an integer number (182080800).

Almost surely, 29993730104 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 9993730104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566464000).

9993730104 is an abundant number, since it is smaller than the sum of its proper divisors (19139197896).

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

9993730104 is a wasteful number, since it uses less digits than its factorization.

9993730104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9993730104 is about 99968.6456045094. The cubic root of 9993730104 is about 2153.9843265128.

The spelling of 9993730104 in words is "nine billion, nine hundred ninety-three million, seven hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 59 72 81 86 108 118 129 162 172 177 216 236 258 324 344 354 387 472 516 531 648 708 774 1032 1062 1161 1416 1548 1593 2124 2322 2537 3096 3186 3483 4248 4644 4779 5074 6079 6372 6966 7611 9288 9558 10148 12158 12744 13932 15222 18237 19116 20296 22833 24316 27864 30444 36474 38232 45666 48632 54711 60888 68499 72948 91332 109422 136998 145896 164133 182664 205497 218844 261397 273996 328266 358661 410994 437688 492399 522794 547992 656532 717322 784191 821988 984798 1045588 1075983 1313064 1434644 1568382 1643976 1969596 2091176 2151966 2352573 2869288 3136764 3227949 3939192 4303932 4705146 6273528 6455898 7057719 8607864 9410292 9683847 12911796 14115438 15422423 18820584 19367694 21173157 25823592 28230876 29051541 30844846 38735388 42346314 46267269 56461752 58103082 61689692 77470776 84692628 92534538 116206164 123379384 138801807 169385256 185069076 232412328 277603614 370138152 416405421 555207228 832810842 1110414456 1249216263 1665621684 2498432526 3331243368 4996865052 9993730104