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561823879680 = 2934575367109
BaseRepresentation
bin10000010110011110101…
…00000001001000000000
31222201011110202012120000
420023033110001020000
533201103403122210
61110033123320000
755406343116460
oct10131724011000
91881143665500
10561823879680
111a72a4a2a338
1290a75820000
1340c977092bb
141d29a007ba0
15e933559ac0
hex82cf501200

561823879680 has 1600 divisors, whose sum is σ = 2399924609280. Its totient is φ = 122974765056.

The previous prime is 561823879567. The next prime is 561823879691. The reversal of 561823879680 is 86978328165.

561823879680 is a `hidden beast` number, since 5 + 618 + 2 + 3 + 8 + 7 + 9 + 6 + 8 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 5154347466 + ... + 5154347574.

Almost surely, 2561823879680 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 561823879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199962304640).

561823879680 is an abundant number, since it is smaller than the sum of its proper divisors (1838100729600).

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

561823879680 is a wasteful number, since it uses less digits than its factorization.

561823879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 561823879680 in words is "five hundred sixty-one billion, eight hundred twenty-three million, eight hundred seventy-nine thousand, six hundred eighty".