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19045656036 = 2234112172412
BaseRepresentation
bin10001101111001101…
…011010010111100100
31211011022202120110000
4101233031122113210
5303001141443121
612425514301300
71242653255661
oct215715322744
954138676400
1019045656036
11809385a300
123836427830
131a46a64874
14cc9660a68
157670a7526
hex46f35a5e4

19045656036 has 405 divisors, whose sum is σ = 59587985611. Its totient is φ = 5299430400.

The previous prime is 19045656013. The next prime is 19045656059. The reversal of 19045656036 is 63065654091.

The square root of 19045656036 is 138006.

It is a perfect power (a square), and thus also a powerful number.

19045656036 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 56 + 560 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (19045656013) and next prime (19045656059).

It can be written as a sum of positive squares in 4 ways, for example, as 1341756900 + 17703899136 = 36630^2 + 133056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19045655982 and 19045656000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 464528176 + ... + 464528216.

Almost surely, 219045656036 is an apocalyptic number.

19045656036 is the 138006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19045656036

19045656036 is an abundant number, since it is smaller than the sum of its proper divisors (40542329575).

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

19045656036 is a wasteful number, since it uses less digits than its factorization.

19045656036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 19045656036 in words is "nineteen billion, forty-five million, six hundred fifty-six thousand, thirty-six".