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27983022264 = 23332334191327
BaseRepresentation
bin11010000011111010…
…110000100010111000
32200020011222211002000
4122003322300202320
5424302123203024
620504421141000
72010305523201
oct320372604270
980204884060
1027983022264
111095a76088a
12550b55a760
13283c555152
1414d66105a8
15adba10cc9
hex683eb08b8

27983022264 has 128 divisors (see below), whose sum is σ = 78309504000. Its totient is φ = 9258492672.

The previous prime is 27983022241. The next prime is 27983022307. The reversal of 27983022264 is 46222038972.

It is a congruent number.

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, 21086769 + ... + 21088095.

It is an arithmetic number, because the mean of its divisors is an integer number (611793000).

Almost surely, 227983022264 is an apocalyptic number.

27983022264 is a gapful number since it is divisible by the number (24) 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 27983022264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39154752000).

27983022264 is an abundant number, since it is smaller than the sum of its proper divisors (50326481736).

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

27983022264 is a wasteful number, since it uses less digits than its factorization.

27983022264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27983022264 in words is "twenty-seven billion, nine hundred eighty-three million, twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 419 466 699 838 932 1257 1327 1398 1676 1864 2097 2514 2654 2796 3352 3771 3981 4194 5028 5308 5592 6291 7542 7962 8388 10056 10616 11313 11943 12582 15084 15924 16776 22626 23886 25164 30168 31848 35829 45252 47772 50328 71658 90504 95544 97627 143316 195254 286632 292881 309191 390508 556013 585762 618382 781016 878643 927573 1112026 1171524 1236764 1668039 1757286 1855146 2224052 2343048 2473528 2635929 2782719 3336078 3514572 3710292 4448104 5004117 5271858 5565438 6672156 7029144 7420584 8348157 10008234 10543716 11130876 13344312 15012351 16696314 20016468 21087432 22261752 30024702 33392628 40032936 60049404 66785256 120098808 129551029 259102058 388653087 518204116 777306174 1036408232 1165959261 1554612348 2331918522 3109224696 3497877783 4663837044 6995755566 9327674088 13991511132 27983022264