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663475228416 = 283373111319103
BaseRepresentation
bin10011010011110100011…
…01001000111100000000
32100102112201200202102000
421221322031020330000
541332244124302131
61224444000424000
765635351251000
oct11517215107400
92312481622360
10663475228416
11236418519160
12a8704618000
134a74738ca70
14241804c8000
15123d2737ce6
hex9a7a348f00

663475228416 has 2304 divisors, whose sum is σ = 2857021440000. Its totient is φ = 149239480320.

The previous prime is 663475228391. The next prime is 663475228439. The reversal of 663475228416 is 614822574366.

663475228416 is a `hidden beast` number, since 6 + 6 + 34 + 7 + 522 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime factors (192).

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 255 ways as a sum of consecutive naturals, for example, 6441507021 + ... + 6441507123.

Almost surely, 2663475228416 is an apocalyptic number.

663475228416 is a gapful number since it is divisible by the number (66) 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 663475228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428510720000).

663475228416 is an abundant number, since it is smaller than the sum of its proper divisors (2193546211584).

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

663475228416 is a wasteful number, since it uses less digits than its factorization.

663475228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 663475228416 in words is "six hundred sixty-three billion, four hundred seventy-five million, two hundred twenty-eight thousand, four hundred sixteen".