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823275494496 = 2532721319231401
BaseRepresentation
bin10111111101011110000…
…10110001110001100000
32220201000111002100222100
423332233002301301200
5101442032011310441
61430112455010400
7113323351145400
oct13765702616140
92821014070870
10823275494496
11298170610264
12113681369a00
135c833136520
142bbbd688800
15166368becb6
hexbfaf0b1c60

823275494496 has 1296 divisors, whose sum is σ = 3203227617408. Its totient is φ = 198567936000.

The previous prime is 823275494479. The next prime is 823275494497. The reversal of 823275494496 is 694494572328.

823275494496 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 7 + 54 + 94 + 496 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823275494497) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2053055896 + ... + 2053056296.

It is an arithmetic number, because the mean of its divisors is an integer number (2471626248).

Almost surely, 2823275494496 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 823275494496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601613808704).

823275494496 is an abundant number, since it is smaller than the sum of its proper divisors (2379952122912).

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

823275494496 is a wasteful number, since it uses less digits than its factorization.

823275494496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 476 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 823275494496 in words is "eight hundred twenty-three billion, two hundred seventy-five million, four hundred ninety-four thousand, four hundred ninety-six".