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561890650464 = 2533112131093793
BaseRepresentation
bin10000010110100110100…
…10101110100101100000
31222201100010101111212000
420023103102232211200
533201223001303324
61110043510404000
755411113503463
oct10132322564540
91881303344760
10561890650464
111a7329695200
1290a94060600
1340ca84b7040
141d2a4c292da
15e9393489c9
hex82d34ae960

561890650464 has 576 divisors, whose sum is σ = 1958259441600. Its totient is φ = 155689205760.

The previous prime is 561890650411. The next prime is 561890650487. The reversal of 561890650464 is 464056098165.

561890650464 is a `hidden beast` number, since 56 + 1 + 89 + 0 + 6 + 50 + 464 = 666.

It is a super-2 number, since 2×5618906504642 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561890650464.

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, 148136952 + ... + 148140744.

It is an arithmetic number, because the mean of its divisors is an integer number (3399755975).

Almost surely, 2561890650464 is an apocalyptic number.

561890650464 is a gapful number since it is divisible by the number (54) 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 561890650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979129720800).

561890650464 is an abundant number, since it is smaller than the sum of its proper divisors (1396368791136).

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

561890650464 is a wasteful number, since it uses less digits than its factorization.

561890650464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 561890650464 in words is "five hundred sixty-one billion, eight hundred ninety million, six hundred fifty thousand, four hundred sixty-four".