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685466496 = 273311131973
BaseRepresentation
bin101000110110110…
…110001110000000
31202202211022021000
4220312312032000
52400434411441
6152003532000
722662240411
oct5066661600
91682738230
10685466496
11321a23140
1217168a000
13ac0211a0
1467073808
15402a12b6
hex28db6380

685466496 has 512 divisors, whose sum is σ = 2536128000. Its totient is φ = 179159040.

The previous prime is 685466491. The next prime is 685466527. The reversal of 685466496 is 694664586.

685466496 is a `hidden beast` number, since 6 + 8 + 546 + 6 + 4 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685466491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9389916 + ... + 9389988.

It is an arithmetic number, because the mean of its divisors is an integer number (4953375).

Almost surely, 2685466496 is an apocalyptic number.

685466496 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 685466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268064000).

685466496 is an abundant number, since it is smaller than the sum of its proper divisors (1850661504).

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

685466496 is a wasteful number, since it uses less digits than its factorization.

685466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 685466496 is about 26181.4150878061. The cubic root of 685466496 is about 881.7160453872.

The spelling of 685466496 in words is "six hundred eighty-five million, four hundred sixty-six thousand, four hundred ninety-six".