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19682008500 = 223537112331239
BaseRepresentation
bin10010010101001000…
…111001110110110100
31212210200011121220210
4102111020321312310
5310302043233000
613013005425420
71264511211660
oct222510716664
955720147823
1019682008500
11838aa87330
12399356b270
131b1884a99b
14d49d8b8a0
157a2da6350
hex495239db4

19682008500 has 768 divisors, whose sum is σ = 77290536960. Its totient is φ = 3769920000.

The previous prime is 19682008499. The next prime is 19682008513. The reversal of 19682008500 is 580028691.

It is a super-3 number, since 3×196820085003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82351381 + ... + 82351619.

It is an arithmetic number, because the mean of its divisors is an integer number (100638720).

Almost surely, 219682008500 is an apocalyptic number.

19682008500 is a gapful number since it is divisible by the number (10) 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 19682008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38645268480).

19682008500 is an abundant number, since it is smaller than the sum of its proper divisors (57608528460).

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

19682008500 is a wasteful number, since it uses less digits than its factorization.

19682008500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 19682008500 in words is "nineteen billion, six hundred eighty-two million, eight thousand, five hundred".