Search a number
-
+
26927497216 = 2166412
BaseRepresentation
bin11001000101000000…
…010000000000000000
32120111121211120220201
4121011000100000000
5420121414402331
620211553414544
71642200643534
oct310500200000
976447746821
1026927497216
1110468963234
125275b6a454
132701976b09
14143636bbc4
15a79012a61
hex645010000

26927497216 has 51 divisors (see below), whose sum is σ = 53938731133. Its totient is φ = 13442744320.

The previous prime is 26927497213. The next prime is 26927497217. The reversal of 26927497216 is 61279472962.

The square root of 26927497216 is 164096.

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., 24306057216 + 2621440000 = 155904^2 + 51200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26927497213) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 42008256 + ... + 42008896.

Almost surely, 226927497216 is an apocalyptic number.

26927497216 is the 164096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26927497216

26927497216 is an abundant number, since it is smaller than the sum of its proper divisors (27011233917).

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

26927497216 is an frugal number, since it uses more digits than its factorization.

26927497216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 643 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 55.

The spelling of 26927497216 in words is "twenty-six billion, nine hundred twenty-seven million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 641 1024 1282 2048 2564 4096 5128 8192 10256 16384 20512 32768 41024 65536 82048 164096 328192 410881 656384 821762 1312768 1643524 2625536 3287048 5251072 6574096 10502144 13148192 21004288 26296384 42008576 52592768 105185536 210371072 420742144 841484288 1682968576 3365937152 6731874304 13463748608 26927497216