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9988938060 = 22352935915991
BaseRepresentation
bin10010100110110001…
…10001100101001100
3221210010221121222220
421103120301211030
5130424132004220
64331105335340
7502351400253
oct112330614514
927703847886
109988938060
11426654a012
121b29337550
13c3261644a
146aa8c379a
153d6e25540
hex25363194c

9988938060 has 96 divisors (see below), whose sum is σ = 29015884800. Its totient is φ = 2564540160.

The previous prime is 9988937977. The next prime is 9988938061. The reversal of 9988938060 is 608398899.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9988937985 and 9988938003.

It is not an unprimeable number, because it can be changed into a prime (9988938061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616665 + ... + 632655.

It is an arithmetic number, because the mean of its divisors is an integer number (302248800).

Almost surely, 29988938060 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 9988938060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507942400).

9988938060 is an abundant number, since it is smaller than the sum of its proper divisors (19026946740).

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

9988938060 is a wasteful number, since it uses less digits than its factorization.

9988938060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16391 (or 16389 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The square root of 9988938060 is about 99944.6749957195. The cubic root of 9988938060 is about 2153.6399893529.

The spelling of 9988938060 in words is "nine billion, nine hundred eighty-eight million, nine hundred thirty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 359 435 580 718 870 1077 1436 1740 1795 2154 3590 4308 5385 7180 10411 10770 15991 20822 21540 31233 31982 41644 47973 52055 62466 63964 79955 95946 104110 124932 156165 159910 191892 208220 239865 312330 319820 463739 479730 624660 927478 959460 1391217 1854956 2318695 2782434 4637390 5564868 5740769 6956085 9274780 11481538 13912170 17222307 22963076 27824340 28703845 34444614 57407690 68889228 86111535 114815380 166482301 172223070 332964602 344446140 499446903 665929204 832411505 998893806 1664823010 1997787612 2497234515 3329646020 4994469030 9988938060