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19862004816 = 243415325621
BaseRepresentation
bin10010011111110111…
…100010010001010000
31220021012212101110000
4102133313202101100
5311134133123231
613042515410000
71302125153403
oct223767422120
956235771400
1019862004816
118472647215
123a238b3900
131b46c1cc94
14d65c43d3a
157b3aad6e6
hex49fde2450

19862004816 has 50 divisors (see below), whose sum is σ = 57486408122. Its totient is φ = 6620667840.

The previous prime is 19862004803. The next prime is 19862004881. The reversal of 19862004816 is 61840026891.

19862004816 is a `hidden beast` number, since 1 + 9 + 8 + 620 + 0 + 4 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15114243600 + 4747761216 = 122940^2 + 68904^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 9 ways as a sum of consecutive naturals, for example, 7661515 + ... + 7664106.

Almost surely, 219862004816 is an apocalyptic number.

19862004816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19862004816 is an abundant number, since it is smaller than the sum of its proper divisors (37624403306).

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

19862004816 is a wasteful number, since it uses less digits than its factorization.

19862004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15325641 (or 15325626 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19862004816 in words is "nineteen billion, eight hundred sixty-two million, four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15325621 30651242 45976863 61302484 91953726 122604968 137930589 183907452 245209936 275861178 367814904 413791767 551722356 735629808 827583534 1103444712 1241375301 1655167068 2206889424 2482750602 3310334136 4965501204 6620668272 9931002408 19862004816