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698468494464 = 27321373638893
BaseRepresentation
bin10100010100111111111…
…01110110110010000000
32110202212110200212002200
422022133331312302000
542420430413310324
61252512203513200
7101314462146546
oct12123775666200
92422773625080
10698468494464
1124a24528a944
12b344b828800
1350b33096650
1425b3db5dd96
151327e8d7ec9
hexa29ff76c80

698468494464 has 192 divisors, whose sum is σ = 2194179219960. Its totient is φ = 211969032192.

The previous prime is 698468494441. The next prime is 698468494469. The reversal of 698468494464 is 464494864896.

It is a happy number.

698468494464 is a `hidden beast` number, since 6 + 9 + 84 + 6 + 84 + 9 + 4 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 504156801600 + 194311692864 = 710040^2 + 440808^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 698468494392 and 698468494401.

It is not an unprimeable number, because it can be changed into a prime (698468494469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773802 + ... + 1412694.

Almost surely, 2698468494464 is an apocalyptic number.

698468494464 is a gapful number since it is divisible by the number (64) 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 698468494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097089609980).

698468494464 is an abundant number, since it is smaller than the sum of its proper divisors (1495710725496).

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

698468494464 is a wasteful number, since it uses less digits than its factorization.

698468494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638999 (or 638984 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 698468494464 in words is "six hundred ninety-eight billion, four hundred sixty-eight million, four hundred ninety-four thousand, four hundred sixty-four".