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19898904979440 = 24335174143615039
BaseRepresentation
bin1001000011001000100110…
…01010011010011111110000
32121110022112220100100121000
410201210103022122133300
510102010424133320230
6110153233013002000
74122435262356414
oct441442312323760
977408486310530
1019898904979440
116382095108873
12229465b023300
13b145c6977c46
144cb17d9d6d44
1524793994ab60
hex12191329a7f0

19898904979440 has 1280 divisors, whose sum is σ = 77333850316800. Its totient is φ = 4680164966400.

The previous prime is 19898904979363. The next prime is 19898904979463. The reversal of 19898904979440 is 4497940989891.

19898904979440 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 89 + 0 + 4 + 97 + 9 + 440 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19898904979440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3948976441 + ... + 3948981479.

It is an arithmetic number, because the mean of its divisors is an integer number (60417070560).

Almost surely, 219898904979440 is an apocalyptic number.

19898904979440 is a gapful number since it is divisible by the number (10) 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 19898904979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38666925158400).

19898904979440 is an abundant number, since it is smaller than the sum of its proper divisors (57434945337360).

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

19898904979440 is a wasteful number, since it uses less digits than its factorization.

19898904979440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 19898904979440 in words is "nineteen trillion, eight hundred ninety-eight billion, nine hundred four million, nine hundred seventy-nine thousand, four hundred forty".