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27805050528 = 2531919976603
BaseRepresentation
bin11001111001010011…
…110110011010100000
32122202210002220202020
4121321103312122200
5423421043104103
620435022421440
72003015013153
oct317123663240
978683086666
1027805050528
1110879254002
12547ba31880
132811711528
1414bab23c9a
15acb0a8753
hex6794f66a0

27805050528 has 96 divisors (see below), whose sum is σ = 77216832000. Its totient is φ = 8736304896.

The previous prime is 27805050527. The next prime is 27805050551. The reversal of 27805050528 is 82505050872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 27805050528.

It is not an unprimeable number, because it can be changed into a prime (27805050527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324675 + ... + 401277.

It is an arithmetic number, because the mean of its divisors is an integer number (804342000).

Almost surely, 227805050528 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 27805050528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608416000).

27805050528 is an abundant number, since it is smaller than the sum of its proper divisors (49411781472).

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

27805050528 is a wasteful number, since it uses less digits than its factorization.

27805050528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76834 (or 76826 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 27805050528 in words is "twenty-seven billion, eight hundred five million, fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 199 228 304 398 456 597 608 796 912 1194 1592 1824 2388 3184 3781 4776 6368 7562 9552 11343 15124 19104 22686 30248 45372 60496 76603 90744 120992 153206 181488 229809 306412 362976 459618 612824 919236 1225648 1455457 1838472 2451296 2910914 3676944 4366371 5821828 7353888 8732742 11643656 15243997 17465484 23287312 30487994 34930968 45731991 46574624 60975988 69861936 91463982 121951976 139723872 182927964 243903952 289635943 365855928 487807904 579271886 731711856 868907829 1158543772 1463423712 1737815658 2317087544 3475631316 4634175088 6951262632 9268350176 13902525264 27805050528