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561675366720 = 263351321991933
BaseRepresentation
bin10000010110001100111…
…01011111000101000000
31222200210010021222002000
420023012131133011000
533200302343213340
61110010300224000
755402560562206
oct10130635370500
91880703258060
10561675366720
111a7229113356
1290a33b3b000
1340c72a0b200
141d2843c9076
15e9254c0d30
hex82c675f140

561675366720 has 672 divisors, whose sum is σ = 2157508512000. Its totient is φ = 137492619264.

The previous prime is 561675366713. The next prime is 561675366739. The reversal of 561675366720 is 27663576165.

561675366720 is a `hidden beast` number, since 56 + 167 + 5 + 366 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 290570874 + ... + 290572806.

Almost surely, 2561675366720 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 561675366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078754256000).

561675366720 is an abundant number, since it is smaller than the sum of its proper divisors (1595833145280).

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

561675366720 is a wasteful number, since it uses less digits than its factorization.

561675366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 561675366720 in words is "five hundred sixty-one billion, six hundred seventy-five million, three hundred sixty-six thousand, seven hundred twenty".