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19506347808 = 2531713039173
BaseRepresentation
bin10010001010101010…
…110011111100100000
31212100102122010202020
4102022222303330200
5304422111112213
612543332421440
71260246135453
oct221252637440
955312563666
1019506347808
1182aa908902
123944777880
131abb335c4c
14d3090349a
15792758923
hex48aab3f20

19506347808 has 96 divisors (see below), whose sum is σ = 54263696256. Its totient is φ = 6114275328.

The previous prime is 19506347801. The next prime is 19506347813. The reversal of 19506347808 is 80874360591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (19506347801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121910 + ... + 2131082.

It is an arithmetic number, because the mean of its divisors is an integer number (565246836).

Almost surely, 219506347808 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 19506347808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27131848128).

19506347808 is an abundant number, since it is smaller than the sum of its proper divisors (34757348448).

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

19506347808 is a wasteful number, since it uses less digits than its factorization.

19506347808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 19506347808 in words is "nineteen billion, five hundred six million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1303 1632 2606 3909 5212 7818 9173 10424 15636 18346 20848 22151 27519 31272 36692 41696 44302 55038 62544 66453 73384 88604 110076 125088 132906 146768 155941 177208 220152 265812 293536 311882 354416 440304 467823 531624 623764 708832 880608 935646 1063248 1247528 1871292 2126496 2495056 3742584 4990112 7485168 11952419 14970336 23904838 35857257 47809676 71714514 95619352 143429028 191238704 203191123 286858056 382477408 406382246 573716112 609573369 812764492 1147432224 1219146738 1625528984 2438293476 3251057968 4876586952 6502115936 9753173904 19506347808