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19864805532 = 223111323741587
BaseRepresentation
bin10010100000000010…
…001110000010011100
31220021102010200022020
4102200002032002130
5311140342234112
613043055420140
71302161026635
oct224002160234
956242120266
1019864805532
11847418a460
123a24824650
131b47690a00
14d6637288c
157b3e6348c
hex4a008e09c

19864805532 has 288 divisors, whose sum is σ = 57703290624. Its totient is φ = 5265561600.

The previous prime is 19864805509. The next prime is 19864805533. The reversal of 19864805532 is 23550846891.

It is a super-2 number, since 2×198648055322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19864805533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33840943 + ... + 33841529.

It is an arithmetic number, because the mean of its divisors is an integer number (200358648).

Almost surely, 219864805532 is an apocalyptic number.

19864805532 is a gapful number since it is divisible by the number (12) 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 19864805532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28851645312).

19864805532 is an abundant number, since it is smaller than the sum of its proper divisors (37838485092).

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

19864805532 is a wasteful number, since it uses less digits than its factorization.

19864805532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 19864805532 in words is "nineteen billion, eight hundred sixty-four million, eight hundred five thousand, five hundred thirty-two".