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19916886528 = 293872112
BaseRepresentation
bin10010100011001000…
…111001001000000000
31220102001010200000000
4102203020321020000
5311242210332103
613052200000000
71303362512400
oct224310711000
956361120000
1019916886528
1184a0621700
123a3a160000
131b553c7376
14d6d24c800
157b87eeaa3
hex4a3239200

19916886528 has 810 divisors, whose sum is σ = 76320527283. Its totient is φ = 5173217280.

The previous prime is 19916886527. The next prime is 19916886533. The reversal of 19916886528 is 82568861991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19916886528 is a `hidden beast` number, since 1 + 99 + 16 + 8 + 8 + 6 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9958443264 + 9958443264 = 99792^2 + 99792^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99792.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19916886527) 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 80 ways as a sum of consecutive naturals, for example, 1810626043 + ... + 1810626053.

Almost surely, 219916886528 is an apocalyptic number.

19916886528 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 19916886528

19916886528 is an abundant number, since it is smaller than the sum of its proper divisors (56403640755).

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

19916886528 is an frugal number, since it uses more digits than its factorization.

19916886528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 19916886528 in words is "nineteen billion, nine hundred sixteen million, eight hundred eighty-six thousand, five hundred twenty-eight".