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504532941696 = 27337181115223
BaseRepresentation
bin1110101011110001000…
…00011011101110000000
31210020021202202000021000
413111320200123232000
531231240413113241
61023440151532000
751310540146660
oct7257040335600
91706252660230
10504532941696
11184a75768703
128194708a000
13387672b94b4
141a5c32661a0
15d1cda7beb6
hex757881bb80

504532941696 has 256 divisors, whose sum is σ = 1711214668800. Its totient is φ = 143354603520.

The previous prime is 504532941677. The next prime is 504532941709. The reversal of 504532941696 is 696149235405.

504532941696 is a `hidden beast` number, since 5 + 0 + 4 + 532 + 9 + 4 + 16 + 96 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4321141 + ... + 4436363.

It is an arithmetic number, because the mean of its divisors is an integer number (6684432300).

Almost surely, 2504532941696 is an apocalyptic number.

504532941696 is a gapful number since it is divisible by the number (56) 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 504532941696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855607334400).

504532941696 is an abundant number, since it is smaller than the sum of its proper divisors (1206681727104).

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

504532941696 is a wasteful number, since it uses less digits than its factorization.

504532941696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115434 (or 115416 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 504532941696 in words is "five hundred four billion, five hundred thirty-two million, nine hundred forty-one thousand, six hundred ninety-six".