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55375031761 = 72336172
BaseRepresentation
bin110011100100100110…
…111110110111010001
312021221011220002001021
4303210212332313101
51401402002004021
641234451035441
74000150001200
oct634446766721
9167834802037
1055375031761
1121536841a65
12a894b9bb81
1352b650a2aa
142974537237
1516916cbc41
hexce49bedd1

55375031761 has 9 divisors (see below), whose sum is σ = 64417769499. Its totient is φ = 47462901024.

The previous prime is 55375031743. The next prime is 55375031773. The reversal of 55375031761 is 16713057355.

The square root of 55375031761 is 235319.

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., 7038371025 + 48336660736 = 83895^2 + 219856^2 .

It is not a de Polignac number, because 55375031761 - 213 = 55375023569 is a prime.

It is a super-2 number, since 2×553750317612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55375031711) 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, 1630425 + ... + 1664041.

Almost surely, 255375031761 is an apocalyptic number.

55375031761 is the 235319-th square number.

55375031761 is the 117660-th centered octagonal number.

It is an amenable number.

55375031761 is a deficient number, since it is larger than the sum of its proper divisors (9042737738).

55375031761 is an frugal number, since it uses more digits than its factorization.

55375031761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67248 (or 33624 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 43.

The spelling of 55375031761 in words is "fifty-five billion, three hundred seventy-five million, thirty-one thousand, seven hundred sixty-one".

Divisors: 1 7 49 33617 235319 1647233 1130102689 7910718823 55375031761