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21422125080 = 2334522392953
BaseRepresentation
bin10011111100110110…
…111011000000011000
32001021221111201010000
4103330312323000120
5322333031000310
613501410253000
71355601026106
oct237466730030
961257451100
1021422125080
1190a325a704
12419a287160
132035201b75
141073116c76
15855a314c0
hex4fcdbb018

21422125080 has 160 divisors (see below), whose sum is σ = 72058694400. Its totient is φ = 5708081664.

The previous prime is 21422125079. The next prime is 21422125097. The reversal of 21422125080 is 8052122412.

21422125080 is a `hidden beast` number, since 2 + 142 + 2 + 12 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7252884 + ... + 7255836.

It is an arithmetic number, because the mean of its divisors is an integer number (450366840).

Almost surely, 221422125080 is an apocalyptic number.

21422125080 is a gapful number since it is divisible by the number (20) 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 21422125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36029347200).

21422125080 is an abundant number, since it is smaller than the sum of its proper divisors (50636569320).

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

21422125080 is a wasteful number, since it uses less digits than its factorization.

21422125080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 21422125080 its reverse (8052122412), we get a palindrome (29474247492).

The spelling of 21422125080 in words is "twenty-one billion, four hundred twenty-two million, one hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2239 2953 3240 4478 5906 6717 8859 8956 11195 11812 13434 14765 17718 17912 20151 22390 23624 26577 26868 29530 33585 35436 40302 44295 44780 53154 53736 59060 60453 67170 70872 79731 80604 88590 89560 100755 106308 118120 120906 132885 134340 159462 161208 177180 181359 201510 212616 239193 241812 265770 268680 302265 318924 354360 362718 398655 403020 478386 483624 531540 604530 637848 725436 797310 806040 906795 956772 1063080 1195965 1209060 1450872 1594620 1813590 1913544 2391930 2418120 3189240 3627180 4783860 6611767 7254360 9567720 13223534 19835301 26447068 33058835 39670602 52894136 59505903 66117670 79341204 99176505 119011806 132235340 158682408 178517709 198353010 238023612 264470680 297529515 357035418 396706020 476047224 535553127 595059030 714070836 793412040 892588545 1071106254 1190118060 1428141672 1785177090 2142212508 2380236120 2677765635 3570354180 4284425016 5355531270 7140708360 10711062540 21422125080