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696680000352 = 25337298347857
BaseRepresentation
bin10100010001101010101…
…11010010101101100000
32110121020211022221102000
422020311113102231200
542403300040002402
61252014514124000
7101222244203160
oct12106527225540
92417224287360
10696680000352
11249507774836
12b3030880600
13509096a46cb
1425a104005a0
15131c78a3c1c
hexa2355d2b60

696680000352 has 384 divisors, whose sum is σ = 2431339545600. Its totient is φ = 189868105728.

The previous prime is 696680000329. The next prime is 696680000407. The reversal of 696680000352 is 253000086696.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 696680000298 and 696680000307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14533608 + ... + 14581464.

It is an arithmetic number, because the mean of its divisors is an integer number (6331613400).

Almost surely, 2696680000352 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 696680000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215669772800).

696680000352 is an abundant number, since it is smaller than the sum of its proper divisors (1734659545248).

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

696680000352 is a wasteful number, since it uses less digits than its factorization.

696680000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47995 (or 47981 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 696680000352 in words is "six hundred ninety-six billion, six hundred eighty million, three hundred fifty-two", and thus it is an aban number.