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689883070464 = 21434721032
BaseRepresentation
bin10100000101000000011…
…11000100000000000000
32102221201010201010110000
422002200033010000000
542300340031223324
61244532232240000
7100561642226100
oct12024017040000
92387633633400
10689883070464
1124663a00a805
12b1854540000
135009548c2c3
1425567825200
1512e2aced9c9
hexa0a03c4000

689883070464 has 675 divisors, whose sum is σ = 2421073711287. Its totient is φ = 195195764736.

The previous prime is 689883070441. The next prime is 689883070489. The reversal of 689883070464 is 464070388986.

The square root of 689883070464 is 830592.

It is a perfect power (a square), and thus also a powerful number.

689883070464 is a `hidden beast` number, since 6 + 8 + 98 + 83 + 0 + 7 + 0 + 464 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6697893837 + ... + 6697893939.

Almost surely, 2689883070464 is an apocalyptic number.

689883070464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

689883070464 is the 830592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689883070464

689883070464 is an abundant number, since it is smaller than the sum of its proper divisors (1731190640823).

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

689883070464 is an frugal number, since it uses more digits than its factorization.

689883070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 689883070464 in words is "six hundred eighty-nine billion, eight hundred eighty-three million, seventy thousand, four hundred sixty-four".