Search a number
-
+
23098818288 = 2437138296379
BaseRepresentation
bin10101100000110010…
…111111111011110000
32012121210111112210110
4111200302333323300
5334301244141123
614340023501320
71445260500360
oct254062777360
965553445713
1023098818288
119883754077
1245878b7840
1322416aab20
141191a929a0
15902d2e493
hex560cbfef0

23098818288 has 160 divisors (see below), whose sum is σ = 73542515200. Its totient is φ = 6083693568.

The previous prime is 23098818287. The next prime is 23098818317. The reversal of 23098818288 is 88281889032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23098818287) 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, 3617883 + ... + 3624261.

It is an arithmetic number, because the mean of its divisors is an integer number (459640720).

Almost surely, 223098818288 is an apocalyptic number.

23098818288 is a gapful number since it is divisible by the number (28) 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 23098818288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771257600).

23098818288 is an abundant number, since it is smaller than the sum of its proper divisors (50443696912).

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

23098818288 is a wasteful number, since it uses less digits than its factorization.

23098818288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 23098818288 in words is "twenty-three billion, ninety-eight million, eight hundred eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 829 1092 1456 1658 2184 2487 3316 4368 4974 5803 6379 6632 9948 10777 11606 12758 13264 17409 19137 19896 21554 23212 25516 32331 34818 38274 39792 43108 44653 46424 51032 64662 69636 75439 76548 82927 86216 89306 92848 102064 129324 133959 139272 150878 153096 165854 172432 178612 226317 248781 258648 267918 278544 301756 306192 331708 357224 452634 497562 517296 535836 580489 603512 663416 714448 905268 995124 1071672 1160978 1207024 1326832 1741467 1810536 1990248 2143344 2321956 3482934 3621072 3980496 4643912 5288191 6965868 9287824 10576382 13931736 15864573 21152764 27863472 31729146 37017337 42305528 63458292 68746483 74034674 84611056 111052011 126916584 137492966 148069348 206239449 222104022 253833168 274985932 296138696 412478898 444208044 481225381 549971864 592277392 824957796 888416088 962450762 1099943728 1443676143 1649915592 1776832176 1924901524 2887352286 3299831184 3849803048 5774704572 7699606096 11549409144 23098818288