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689560876368 = 2432713219920341
BaseRepresentation
bin10100000100011010000…
…01111111010101010000
32102220212200102222020100
422002031001333111100
542244210041020433
61244440242412400
7100550650511520
oct12021501772520
92386780388210
10689560876368
112464941575a1
12b1784661100
13500437c0500
1425536b15680
1512e0c8a8b13
hexa08d07f550

689560876368 has 360 divisors, whose sum is σ = 2400323452800. Its totient is φ = 180939432960.

The previous prime is 689560876351. The next prime is 689560876373. The reversal of 689560876368 is 863678065986.

689560876368 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 608 + 7 + 6 + 3 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 689560876296 and 689560876305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33889878 + ... + 33910218.

Almost surely, 2689560876368 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 689560876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200161726400).

689560876368 is an abundant number, since it is smaller than the sum of its proper divisors (1710762576432).

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

689560876368 is a wasteful number, since it uses less digits than its factorization.

689560876368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20587 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 689560876368 in words is "six hundred eighty-nine billion, five hundred sixty million, eight hundred seventy-six thousand, three hundred sixty-eight".