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19085254656 = 213313314147
BaseRepresentation
bin10001110001100100…
…011110000000000000
31211021002021101112120
4101301210132000000
5303041311122111
612433451124240
71243643662566
oct216144360000
954232241476
1019085254656
118104146336
123847743680
131a5201a7c0
14cd0a0ba36
1576a7ca406
hex47191e000

19085254656 has 448 divisors, whose sum is σ = 59186405376. Its totient is φ = 5426380800.

The previous prime is 19085254637. The next prime is 19085254673. The reversal of 19085254656 is 65645258091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19085254599 and 19085254608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 406069225 + ... + 406069271.

It is an arithmetic number, because the mean of its divisors is an integer number (132112512).

Almost surely, 219085254656 is an apocalyptic number.

19085254656 is a gapful number since it is divisible by the number (16) 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 19085254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29593202688).

19085254656 is an abundant number, since it is smaller than the sum of its proper divisors (40101150720).

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

19085254656 is a wasteful number, since it uses less digits than its factorization.

19085254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 19085254656 in words is "nineteen billion, eighty-five million, two hundred fifty-four thousand, six hundred fifty-six".