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685903540896 = 253374159173271
BaseRepresentation
bin10011111101100110000…
…10010111001010100000
32102120102210112002011000
421332303002113022200
542214212301302041
61243033313152000
7100361220621060
oct11766302271240
92376383462130
10685903540896
112449877382a2
12b0b2385b600
134c8acb87192
14252ab0bd3a0
1512c9676dbb6
hex9fb30972a0

685903540896 has 768 divisors, whose sum is σ = 2404413849600. Its totient is φ = 186176102400.

The previous prime is 685903540877. The next prime is 685903540919. The reversal of 685903540896 is 698045309586.

685903540896 is a `hidden beast` number, since 6 + 8 + 5 + 9 + 0 + 3 + 540 + 89 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2531009241 + ... + 2531009511.

It is an arithmetic number, because the mean of its divisors is an integer number (3130747200).

Almost surely, 2685903540896 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 685903540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202206924800).

685903540896 is an abundant number, since it is smaller than the sum of its proper divisors (1718510308704).

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

685903540896 is a wasteful number, since it uses less digits than its factorization.

685903540896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 685903540896 in words is "six hundred eighty-five billion, nine hundred three million, five hundred forty thousand, eight hundred ninety-six".