Search a number
-
+
27426869568 = 2638723143
BaseRepresentation
bin11001100010110001…
…001101000101000000
32121210102111100000000
4121202301031011000
5422132234311233
620333313000000
71660443354600
oct314261150500
977712440000
1027426869568
11106a483105a
125395253000
13278126c307
1414827dcc00
15aa7ca4d13
hex662c4d140

27426869568 has 756 divisors, whose sum is σ = 100304510592. Its totient is φ = 7407106560.

The previous prime is 27426869557. The next prime is 27426869579. The reversal of 27426869568 is 86596862472.

27426869568 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 6 + 8 + 69 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (27426869557) and next prime (27426869579).

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 637834155 + ... + 637834197.

Almost surely, 227426869568 is an apocalyptic number.

27426869568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27426869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50152255296).

27426869568 is an abundant number, since it is smaller than the sum of its proper divisors (72877641024).

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

27426869568 is an frugal number, since it uses more digits than its factorization.

27426869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 86 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 27426869568 in words is "twenty-seven billion, four hundred twenty-six million, eight hundred sixty-nine thousand, five hundred sixty-eight".