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19988304400 = 245270692
BaseRepresentation
bin10010100111011001…
…010101001000010000
31220121000112001220101
4102213121111020100
5311414001220100
613103230422144
71305220532641
oct224731251020
956530461811
1019988304400
118527970a39
123a5a061954
131b6714136c
14d7891d6c8
157bec0a86a
hex4a7655210

19988304400 has 45 divisors (see below), whose sum is σ = 48028695591. Its totient is φ = 7994190720.

The previous prime is 19988304373. The next prime is 19988304409. The reversal of 19988304400 is 440388991.

The square root of 19988304400 is 141380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1683296784 + 18305007616 = 41028^2 + 135296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19988304409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2824066 + ... + 2831134.

Almost surely, 219988304400 is an apocalyptic number.

19988304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19988304400 is the 141380-th square number.

It is an amenable number.

19988304400 is an abundant number, since it is smaller than the sum of its proper divisors (28040391191).

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

19988304400 is an frugal number, since it uses more digits than its factorization.

19988304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14156 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 19988304400 in words is "nineteen billion, nine hundred eighty-eight million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7069 14138 28276 35345 56552 70690 113104 141380 176725 282760 353450 565520 706900 1413800 2827600 49970761 99941522 199883044 249853805 399766088 499707610 799532176 999415220 1249269025 1998830440 2498538050 3997660880 4997076100 9994152200 19988304400