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23029983620 = 22577919310789
BaseRepresentation
bin10101011100101100…
…011010100110000100
32012102222222101101022
4111130230122212010
5334131133433440
614325124250312
71443463426250
oct253454324604
965388871338
1023029983620
119848909616
124568840998
132230359857
141186895260
158ebc83cb5
hex55cb1a984

23029983620 has 96 divisors (see below), whose sum is σ = 56266828800. Its totient is φ = 7754932224.

The previous prime is 23029983563. The next prime is 23029983649. The reversal of 23029983620 is 2638992032.

It is a super-3 number, since 3×230299836203 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2129186 + ... + 2139974.

It is an arithmetic number, because the mean of its divisors is an integer number (586112800).

Almost surely, 223029983620 is an apocalyptic number.

23029983620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23029983620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133414400).

23029983620 is an abundant number, since it is smaller than the sum of its proper divisors (33236845180).

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

23029983620 is a wasteful number, since it uses less digits than its factorization.

23029983620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 23029983620 in words is "twenty-three billion, twenty-nine million, nine hundred eighty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 193 316 386 395 553 772 790 965 1106 1351 1580 1930 2212 2702 2765 3860 5404 5530 6755 10789 11060 13510 15247 21578 27020 30494 43156 53945 60988 75523 76235 106729 107890 151046 152470 213458 215780 302092 304940 377615 426916 533645 755230 852331 1067290 1510460 1704662 2082277 2134580 3409324 4164554 4261655 5966317 8329108 8523310 10411385 11932634 14575939 17046620 20822770 23865268 29151878 29831585 41645540 58303756 59663170 72879695 119326340 145759390 164499883 291518780 328999766 657999532 822499415 1151499181 1644998830 2302998362 3289997660 4605996724 5757495905 11514991810 23029983620