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20838056022 = 2327434398761
BaseRepresentation
bin10011011010000010…
…111000000001010110
31222210020110220222200
4103122002320001112
5320134020243042
613323423505330
71335246360630
oct233202700126
958706426880
1020838056022
1189235a2a03
124056758246
131c711c3584
141019719a50
1581e60dc4c
hex4da0b8056

20838056022 has 96 divisors (see below), whose sum is σ = 52925283840. Its totient is φ = 5801362560.

The previous prime is 20838055963. The next prime is 20838056033. The reversal of 20838056022 is 22065083802.

20838056022 is a `hidden beast` number, since 208 + 380 + 56 + 0 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374122 + ... + 2382882.

It is an arithmetic number, because the mean of its divisors is an integer number (551305040).

Almost surely, 220838056022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20838056022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462641920).

20838056022 is an abundant number, since it is smaller than the sum of its proper divisors (32087227818).

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

20838056022 is a wasteful number, since it uses less digits than its factorization.

20838056022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 2083 and 8056022, that added together give a triangular number (8058105 = T4014).

The spelling of 20838056022 in words is "twenty billion, eight hundred thirty-eight million, fifty-six thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 439 602 774 878 903 1317 1806 2634 2709 3073 3951 5418 6146 7902 8761 9219 17522 18438 18877 26283 27657 37754 52566 55314 56631 61327 78849 113262 122654 132139 157698 169893 183981 264278 339786 367962 376723 396417 551943 753446 792834 1103886 1130169 1189251 2260338 2378502 2637061 3390507 3846079 5274122 6781014 7692158 7911183 11538237 15822366 23076474 23733549 26922553 34614711 47467098 53845106 69229422 80767659 161535318 165381397 242302977 330762794 484605954 496144191 992288382 1157669779 1488432573 2315339558 2976865146 3473009337 6946018674 10419028011 20838056022