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19849288194216 = 23331347337446293
BaseRepresentation
bin1001000001101100001011…
…10001011001100010101000
32121021120111000121111211000
410200312011301121202220
510100202320234203331
6110114345341035000
74116030602556045
oct440660561314250
977246430544730
1019849288194216
116363043796748
122286b12555a60
13b0ca1a420730
144c89d413c1cc
152464d3a510e6
hex120d85c598a8

19849288194216 has 256 divisors, whose sum is σ = 60821660390400. Its totient is φ = 5959776227328.

The previous prime is 19849288194193. The next prime is 19849288194223. The reversal of 19849288194216 is 61249188294891.

19849288194216 is a `hidden beast` number, since 1 + 9 + 8 + 49 + 288 + 1 + 94 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44252766 + ... + 44699058.

It is an arithmetic number, because the mean of its divisors is an integer number (237584610900).

Almost surely, 219849288194216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19849288194216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410830195200).

19849288194216 is an abundant number, since it is smaller than the sum of its proper divisors (40972372196184).

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

19849288194216 is a wasteful number, since it uses less digits than its factorization.

19849288194216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446705 (or 446695 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 72.

The spelling of 19849288194216 in words is "nineteen trillion, eight hundred forty-nine billion, two hundred eighty-eight million, one hundred ninety-four thousand, two hundred sixteen".