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20434392888 = 23371343921313
BaseRepresentation
bin10011000001111111…
…000001011100111000
31221202002220201021020
4103001333001130320
5313322201033023
613215403542440
71322245321320
oct230177013470
957662821236
1020434392888
118736755908
123b6352aa20
131c0869b850
14dbbc80280
157e8e74de3
hex4c1fc1738

20434392888 has 128 divisors (see below), whose sum is σ = 63021235200. Its totient is φ = 5376761856.

The previous prime is 20434392883. The next prime is 20434392911. The reversal of 20434392888 is 88829343402.

It is a happy number.

It is a super-2 number, since 2×204343928882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20434392888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434392883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948120 + ... + 969432.

It is an arithmetic number, because the mean of its divisors is an integer number (492353400).

Almost surely, 220434392888 is an apocalyptic number.

20434392888 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 20434392888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31510617600).

20434392888 is an abundant number, since it is smaller than the sum of its proper divisors (42586842312).

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

20434392888 is a wasteful number, since it uses less digits than its factorization.

20434392888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21781 (or 21777 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 20434392888 in words is "twenty billion, four hundred thirty-four million, three hundred ninety-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 439 546 728 878 1092 1317 1756 2184 2634 3073 3512 5268 5707 6146 9219 10536 11414 12292 17121 18438 21313 22828 24584 34242 36876 39949 42626 45656 63939 68484 73752 79898 85252 119847 127878 136968 149191 159796 170504 239694 255756 277069 298382 319592 447573 479388 511512 554138 596764 831207 895146 958776 1108276 1193528 1662414 1790292 1939483 2216552 3324828 3580584 3878966 5818449 6649656 7757932 9356407 11636898 15515864 18712814 23273796 28069221 37425628 46547592 56138442 65494849 74851256 112276884 121633291 130989698 196484547 224553768 243266582 261979396 364899873 392969094 486533164 523958792 729799746 785938188 851433037 973066328 1459599492 1571876376 1702866074 2554299111 2919198984 3405732148 5108598222 6811464296 10217196444 20434392888