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685803706560 = 26335714976103
BaseRepresentation
bin10011111101011010001…
…01100001100011000000
32102120011211122222012000
421332231011201203000
542214011222102220
61243015345304000
7100355566215630
oct11765505414300
92376154588160
10685803706560
1124493634a285
12b0ab6335000
134c8952a0bcb
142529bb326c0
1512c8caed390
hex9fad1618c0

685803706560 has 448 divisors, whose sum is σ = 2783579904000. Its totient is φ = 155701039104.

The previous prime is 685803706559. The next prime is 685803706561. The reversal of 685803706560 is 65607308586.

685803706560 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 0 + 3 + 70 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (685803706559) and next prime (685803706561).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 685803706497 and 685803706506.

It is not an unprimeable number, because it can be changed into a prime (685803706561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8973469 + ... + 9049571.

It is an arithmetic number, because the mean of its divisors is an integer number (6213348000).

Almost surely, 2685803706560 is an apocalyptic number.

685803706560 is a gapful number since it is divisible by the number (60) 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 685803706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391789952000).

685803706560 is an abundant number, since it is smaller than the sum of its proper divisors (2097776197440).

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

685803706560 is a wasteful number, since it uses less digits than its factorization.

685803706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76285 (or 76269 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 685803706560 in words is "six hundred eighty-five billion, eight hundred three million, seven hundred six thousand, five hundred sixty".