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19821328452 = 2233312190979
BaseRepresentation
bin10010011101011100…
…010111100001000100
31220011101022210222000
4102131130113201010
5311043230002302
613034503505300
71301122340412
oct223534274104
956141283860
1019821328452
118451694492
123a12158230
131b3b67a623
14d606962b2
157b022631c
hex49d717844

19821328452 has 72 divisors (see below), whose sum is σ = 53100079200. Its totient is φ = 6393943440.

The previous prime is 19821328433. The next prime is 19821328459. The reversal of 19821328452 is 25482312891.

19821328452 is a `hidden beast` number, since 198 + 2 + 1 + 3 + 2 + 8 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19821328398 and 19821328407.

It is not an unprimeable number, because it can be changed into a prime (19821328459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8299 + ... + 199277.

It is an arithmetic number, because the mean of its divisors is an integer number (737501100).

Almost surely, 219821328452 is an apocalyptic number.

19821328452 is a gapful number since it is divisible by the number (12) 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 19821328452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550039600).

19821328452 is an abundant number, since it is smaller than the sum of its proper divisors (33278750748).

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

19821328452 is a wasteful number, since it uses less digits than its factorization.

19821328452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191054 (or 191015 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 19821328452 in words is "nineteen billion, eight hundred twenty-one million, three hundred twenty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1674 1922 2883 3348 3844 5766 8649 11532 17298 25947 34596 51894 103788 190979 381958 572937 763916 1145874 1718811 2291748 3437622 5156433 5920349 6875244 10312866 11840698 17761047 20625732 23681396 35522094 53283141 71044188 106566282 159849423 183530819 213132564 319698846 367061638 550592457 639397692 734123276 1101184914 1651777371 2202369828 3303554742 4955332113 6607109484 9910664226 19821328452