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19969756352 = 2673131929127
BaseRepresentation
bin10010100110010010…
…100100110011000000
31220112201121201202122
4102212102210303000
5311344224200402
613101325103412
71304604062000
oct224622446300
956481551678
1019969756352
118518452577
123a539b7b68
131b63348aa0
14d76292000
157bd294ca2
hex4a64a4cc0

19969756352 has 448 divisors, whose sum is σ = 54620160000. Its totient is φ = 7169347584.

The previous prime is 19969756343. The next prime is 19969756423. The reversal of 19969756352 is 25365796991.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157242113 + ... + 157242239.

It is an arithmetic number, because the mean of its divisors is an integer number (121920000).

Almost surely, 219969756352 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 19969756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080000).

19969756352 is an abundant number, since it is smaller than the sum of its proper divisors (34650403648).

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

19969756352 is a wasteful number, since it uses less digits than its factorization.

19969756352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 62.

The spelling of 19969756352 in words is "nineteen billion, nine hundred sixty-nine million, seven hundred fifty-six thousand, three hundred fifty-two".