Search a number
-
+
55879759321 = 97224372
BaseRepresentation
bin110100000010101100…
…010111010111011001
312100020100121220002121
4310002230113113121
51403420204244241
641400521101241
74015516055131
oct640254272731
9170210556077
1055879759321
1121775738281
12a9b6027821
135366c59159
1429c159dac1
1516c0b7aad1
hexd02b175d9

55879759321 has 9 divisors (see below), whose sum is σ = 56484956349. Its totient is φ = 55280985984.

The previous prime is 55879759289. The next prime is 55879759333. The reversal of 55879759321 is 12395797855.

The square root of 55879759321 is 236389.

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

55879759321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12407509321 + 43472250000 = 111389^2 + 208500^2 .

It is not a de Polignac number, because 55879759321 - 25 = 55879759289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55879759321.

It is not an unprimeable number, because it can be changed into a prime (55879759921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22928515 + ... + 22930951.

It is an arithmetic number, because the mean of its divisors is an integer number (6276106261).

Almost surely, 255879759321 is an apocalyptic number.

55879759321 is the 236389-th square number.

55879759321 is the 118195-th centered octagonal number.

It is an amenable number.

55879759321 is a deficient number, since it is larger than the sum of its proper divisors (605197028).

55879759321 is an frugal number, since it uses more digits than its factorization.

55879759321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 2534 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 61.

The spelling of 55879759321 in words is "fifty-five billion, eight hundred seventy-nine million, seven hundred fifty-nine thousand, three hundred twenty-one".

Divisors: 1 97 2437 9409 236389 5938969 22929733 576079993 55879759321