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685225771776 = 28337213198191
BaseRepresentation
bin10011111100010101010…
…00111000001100000000
32102111200120011211201000
421332022220320030000
542211320244144101
61242442142212000
7100335350646600
oct11761250701400
92374616154630
10685225771776
1124466a0a2327
12b0974884000
134c80262c770
1425245090c00
1512c56edd486
hex9f8aa38300

685225771776 has 864 divisors, whose sum is σ = 2672413900800. Its totient is φ = 171186462720.

The previous prime is 685225771759. The next prime is 685225771777. The reversal of 685225771776 is 677177522586.

It is a happy number.

685225771776 is a `hidden beast` number, since 6 + 8 + 52 + 2 + 577 + 1 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (685225771777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83651841 + ... + 83660031.

Almost surely, 2685225771776 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 685225771776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336206950400).

685225771776 is an abundant number, since it is smaller than the sum of its proper divisors (1987188129024).

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

685225771776 is a wasteful number, since it uses less digits than its factorization.

685225771776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8235 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 63.

The spelling of 685225771776 in words is "six hundred eighty-five billion, two hundred twenty-five million, seven hundred seventy-one thousand, seven hundred seventy-six".