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28193046336 = 26327131928309
BaseRepresentation
bin11010010000011011…
…111011111101000000
32200202211012010221100
4122100123323331000
5430214404440321
620541322454400
72015435640240
oct322033737500
980684163840
1028193046336
1110a5826aaa4
125569964400
132873c0bc50
141516481b20
15b0019a326
hex6906fbf40

28193046336 has 336 divisors, whose sum is σ = 104697174400. Its totient is φ = 7043936256.

The previous prime is 28193046311. The next prime is 28193046419. The reversal of 28193046336 is 63364039182.

28193046336 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 3 + 0 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 28193046291 and 28193046300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981750 + ... + 1010058.

Almost surely, 228193046336 is an apocalyptic number.

28193046336 is a gapful number since it is divisible by the number (26) 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 28193046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348587200).

28193046336 is an abundant number, since it is smaller than the sum of its proper divisors (76504128064).

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

28193046336 is a wasteful number, since it uses less digits than its factorization.

28193046336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28366 (or 28353 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 28193046336 in words is "twenty-eight billion, one hundred ninety-three million, forty-six thousand, three hundred thirty-six".