Search a number
-
+
27997870944 = 253291644489
BaseRepresentation
bin11010000100110011…
…011001101101100000
32200021012221012122010
4122010303121231200
5424314423332234
620510111312520
72010545655621
oct320463315540
980235835563
1027997870944
111096808291a
12551451b740
132842653954
1414d8597a48
15adce956e9
hex684cd9b60

27997870944 has 24 divisors (see below), whose sum is σ = 73494411480. Its totient is φ = 9332623616.

The previous prime is 27997870931. The next prime is 27997870961. The reversal of 27997870944 is 44907879972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×279978709442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145822149 + ... + 145822340.

It is an arithmetic number, because the mean of its divisors is an integer number (3062267145).

Almost surely, 227997870944 is an apocalyptic number.

27997870944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27997870944 is an abundant number, since it is smaller than the sum of its proper divisors (45496540536).

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

27997870944 is a wasteful number, since it uses less digits than its factorization.

27997870944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291644502 (or 291644494 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 66.

The spelling of 27997870944 in words is "twenty-seven billion, nine hundred ninety-seven million, eight hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 291644489 583288978 874933467 1166577956 1749866934 2333155912 3499733868 4666311824 6999467736 9332623648 13998935472 27997870944