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27625877056 = 2673281001
BaseRepresentation
bin11001101110101000…
…010110111001000000
32122022021221221221201
4121232220112321000
5423034211031211
620405142230544
71665411036421
oct315650267100
978267857851
1027625877056
11107970a6358
12542ba25454
1327b356991b
1414a1003648
15aba4b50c1
hex66ea16e40

27625877056 has 42 divisors (see below), whose sum is σ = 55582033362. Its totient is φ = 13623552000.

The previous prime is 27625877029. The next prime is 27625877087. The reversal of 27625877056 is 65077852672.

It can be written as a sum of positive squares in 3 ways, for example, as 10736275456 + 16889601600 = 103616^2 + 129960^2 .

It is a super-2 number, since 2×276258770562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27625876988 and 27625877006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300556 + ... + 381556.

Almost surely, 227625877056 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 27625877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27791016681).

27625877056 is an abundant number, since it is smaller than the sum of its proper divisors (27956156306).

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

27625877056 is an frugal number, since it uses more digits than its factorization.

27625877056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81159 (or 81076 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 27625877056 in words is "twenty-seven billion, six hundred twenty-five million, eight hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 5329 10658 21316 42632 81001 85264 162002 170528 324004 341056 648008 1296016 2592032 5184064 5913073 11826146 23652292 47304584 94609168 189218336 378436672 431654329 863308658 1726617316 3453234632 6906469264 13812938528 27625877056