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27852939664 = 2411237932
BaseRepresentation
bin11001111100001010…
…100010000110010000
32122220010012221021221
4121330022202012100
5424020323032124
620443453054424
72004136036504
oct317412420620
978803187257
1027852939664
11108a3292900
125493a87414
13281b60abb4
1414c322c304
15ad03b7ce4
hex67c2a2190

27852939664 has 45 divisors (see below), whose sum is σ = 59332621089. Its totient is φ = 12657089280.

The previous prime is 27852939649. The next prime is 27852939677. The reversal of 27852939664 is 46693925872.

The square root of 27852939664 is 166892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5049523600 + 22803416064 = 71060^2 + 151008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7341352 + ... + 7345144.

Almost surely, 227852939664 is an apocalyptic number.

27852939664 is the 166892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27852939664

27852939664 is an abundant number, since it is smaller than the sum of its proper divisors (31479681425).

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

27852939664 is an frugal number, since it uses more digits than its factorization.

27852939664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 3806 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 61.

The spelling of 27852939664 in words is "twenty-seven billion, eight hundred fifty-two million, nine hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3793 7586 15172 30344 41723 60688 83446 166892 333784 458953 667568 917906 1835812 3671624 7343248 14386849 28773698 57547396 115094792 158255339 230189584 316510678 633021356 1266042712 1740808729 2532085424 3481617458 6963234916 13926469832 27852939664