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19988575488 = 2832721011753
BaseRepresentation
bin10010100111011010…
…010111010100000000
31220121001000211202200
4102213122113110000
5311414033403423
613103240313200
71305223042200
oct224732272400
956531024680
1019988575488
118528036682
123a5a172800
131b6720787b
14d78990400
157bec60d43
hex4a7697500

19988575488 has 324 divisors, whose sum is σ = 67743693108. Its totient is φ = 5651251200.

The previous prime is 19988575483. The next prime is 19988575501. The reversal of 19988575488 is 88457588991.

19988575488 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 8 + 575 + 48 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9692008704 + 10296566784 = 98448^2 + 101472^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (232243200) is a multiple of the sum of its prime factors (1890).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19988575483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11401620 + ... + 11403372.

Almost surely, 219988575488 is an apocalyptic number.

19988575488 is a gapful number since it is divisible by the number (18) 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 19988575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33871846554).

19988575488 is an abundant number, since it is smaller than the sum of its proper divisors (47755117620).

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

19988575488 is a wasteful number, since it uses less digits than its factorization.

19988575488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1866 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 72.

The spelling of 19988575488 in words is "nineteen billion, nine hundred eighty-eight million, five hundred seventy-five thousand, four hundred eighty-eight".