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21107662968 = 233734162539
BaseRepresentation
bin10011101010000111…
…010110000001111000
32000111000210101012010
4103222013112001320
5321212030203333
613410254245520
71345032114000
oct235207260170
960430711163
1021107662968
118a517a8667
124110ab68a0
131cb500c502
14104345b000
15838117563
hex4ea1d6078

21107662968 has 128 divisors (see below), whose sum is σ = 63040320000. Its totient is φ = 5883575040.

The previous prime is 21107662907. The next prime is 21107662997. The reversal of 21107662968 is 86926670112.

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, 306243 + ... + 368781.

It is an arithmetic number, because the mean of its divisors is an integer number (492502500).

Almost surely, 221107662968 is an apocalyptic number.

21107662968 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 21107662968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31520160000).

21107662968 is an abundant number, since it is smaller than the sum of its proper divisors (41932657032).

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

21107662968 is a wasteful number, since it uses less digits than its factorization.

21107662968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62610 (or 62592 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 21107662968 in words is "twenty-one billion, one hundred seven million, six hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 49 56 82 84 98 123 147 164 168 196 246 287 294 328 343 392 492 574 588 686 861 984 1029 1148 1176 1372 1722 2009 2058 2296 2744 3444 4018 4116 6027 6888 8036 8232 12054 14063 16072 24108 28126 42189 48216 56252 62539 84378 112504 125078 168756 187617 250156 337512 375234 437773 500312 750468 875546 1313319 1500936 1751092 2564099 2626638 3064411 3502184 5128198 5253276 6128822 7692297 9193233 10256396 10506552 12257644 15384594 17948693 18386466 20512792 21450877 24515288 30769188 35897386 36772932 42901754 53846079 61538376 64352631 71794772 73545864 85803508 107692158 125640851 128705262 143589544 171607016 215384316 251281702 257410524 376922553 430768632 502563404 514821048 753845106 879485957 1005126808 1507690212 1758971914 2638457871 3015380424 3517943828 5276915742 7035887656 10553831484 21107662968