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55373149225 = 5219224772
BaseRepresentation
bin110011100100011111…
…110011010000101001
312021221001100102200201
4303210133303100221
51401401011233400
641234342432201
74000125000562
oct634437632051
9167831312621
1055373149225
1121535776649
12a894432661
1352b5ccb474
1429741a7169
15169145906a
hexce47f3429

55373149225 has 27 divisors (see below), whose sum is σ = 72496000677. Its totient is φ = 41950075680.

The previous prime is 55373149219. The next prime is 55373149261. The reversal of 55373149225 is 52294137355.

The square root of 55373149225 is 235315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1076692969 + 54296456256 = 32813^2 + 233016^2 .

It is not a de Polignac number, because 55373149225 - 221 = 55371052073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22353687 + ... + 22356163.

Almost surely, 255373149225 is an apocalyptic number.

55373149225 is the 235315-th square number.

55373149225 is the 117658-th centered octagonal number.

It is an amenable number.

55373149225 is a deficient number, since it is larger than the sum of its proper divisors (17122851452).

55373149225 is an frugal number, since it uses more digits than its factorization.

55373149225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 2501 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 46.

The spelling of 55373149225 in words is "fifty-five billion, three hundred seventy-three million, one hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 2477 9025 12385 47063 61925 235315 894197 1176575 4470985 6135529 22354925 30677645 116575051 153388225 582875255 2214925969 2914376275 11074629845 55373149225