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21111874752 = 2631631813727
BaseRepresentation
bin10011101010010111…
…011010010011000000
32000111022201100200010
4103222113122103000
5321214114443002
613410524424520
71345112655153
oct235227322300
960438640603
1021111874752
118a54114a81
1241123a8140
131cb5b555a7
141043c35c9a
1583869a46c
hex4ea5da4c0

21111874752 has 112 divisors (see below), whose sum is σ = 56526858752. Its totient is φ = 6953610240.

The previous prime is 21111874747. The next prime is 21111874793. The reversal of 21111874752 is 25747811112.

It is a super-3 number, since 3×211118747523 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 21111874752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5662713 + ... + 5666439.

It is an arithmetic number, because the mean of its divisors is an integer number (504704096).

Almost surely, 221111874752 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 21111874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28263429376).

21111874752 is an abundant number, since it is smaller than the sum of its proper divisors (35414984000).

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

21111874752 is a wasteful number, since it uses less digits than its factorization.

21111874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4076 counting only the distinct ones).

The product of its digits is 31360, while the sum is 39.

The spelling of 21111874752 in words is "twenty-one billion, one hundred eleven million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 181 192 326 362 489 543 652 724 978 1086 1304 1448 1956 2172 2608 2896 3727 3912 4344 5216 5792 7454 7824 8688 10432 11181 11584 14908 15648 17376 22362 29503 29816 31296 34752 44724 59006 59632 88509 89448 118012 119264 177018 178896 236024 238528 354036 357792 472048 607501 674587 708072 715584 944096 1215002 1349174 1416144 1822503 1888192 2023761 2430004 2698348 2832288 3645006 4047522 4860008 5396696 5664576 7290012 8095044 9720016 10793392 14580024 16190088 19440032 21586784 29160048 32380176 38880064 43173568 58320096 64760352 109957681 116640192 129520704 219915362 329873043 439830724 659746086 879661448 1319492172 1759322896 2638984344 3518645792 5277968688 7037291584 10555937376 21111874752