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696106684416 = 21231113231983
BaseRepresentation
bin10100010000100110011…
…00010001000000000000
32110112202212112110210110
422020103030101000000
542401111302400131
61251441554031320
7101202113122143
oct12102314210000
92415685473713
10696106684416
11249243092010
12b2ab0878540
135084798c700
142599820205a
15131923a7646
hexa213311000

696106684416 has 624 divisors, whose sum is σ = 2265553539072. Its totient is φ = 188242329600.

The previous prime is 696106684381. The next prime is 696106684433. The reversal of 696106684416 is 614486601696.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×6961066844162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708144661 + ... + 708145643.

Almost surely, 2696106684416 is an apocalyptic number.

696106684416 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 696106684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132776769536).

696106684416 is an abundant number, since it is smaller than the sum of its proper divisors (1569446854656).

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

696106684416 is a wasteful number, since it uses less digits than its factorization.

696106684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 696106684416 in words is "six hundred ninety-six billion, one hundred six million, six hundred eighty-four thousand, four hundred sixteen".