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697700216304 = 2433713196115313
BaseRepresentation
bin10100010011100100010…
…11000110110111110000
32110200212221001021121000
422021302023012313300
542412342223410204
61252304041002000
7101256442662540
oct12116213066760
92420787037530
10697700216304
11249990646113
12b3276483300
1350a3cb6c3a0
1425aa9ad1320
151323722a039
hexa2722c6df0

697700216304 has 640 divisors, whose sum is σ = 2637242316800. Its totient is φ = 171455201280.

The previous prime is 697700216303. The next prime is 697700216351. The reversal of 697700216304 is 403612007796.

697700216304 is a `hidden beast` number, since 6 + 9 + 7 + 7 + 0 + 0 + 2 + 1 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 697700216304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697700216303) by changing a digit.

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, 45554952 + ... + 45570264.

It is an arithmetic number, because the mean of its divisors is an integer number (4120691120).

Almost surely, 2697700216304 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 697700216304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318621158400).

697700216304 is an abundant number, since it is smaller than the sum of its proper divisors (1939542100496).

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

697700216304 is a wasteful number, since it uses less digits than its factorization.

697700216304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15430 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 697700216304 in words is "six hundred ninety-seven billion, seven hundred million, two hundred sixteen thousand, three hundred four".