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56182828165 = 5174129160081
BaseRepresentation
bin110100010100110000…
…011110110010000101
312101000110220101101121
4310110300132302011
51410030301000130
641450544553541
74026156105562
oct642460366205
9171013811347
1056182828165
11219108183a2
12aa7b6228b1
1353b498ca29
142a0d931869
1516dc593d7a
hexd14c1ec85

56182828165 has 16 divisors (see below), whose sum is σ = 71402975280. Its totient is φ = 42291855360.

The previous prime is 56182828151. The next prime is 56182828193.

56182828165 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 11687988321 + 44494839844 = 108111^2 + 210938^2 .

It is not a de Polignac number, because 56182828165 - 29 = 56182827653 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270925 + ... + 431005.

It is an arithmetic number, because the mean of its divisors is an integer number (4462685955).

Almost surely, 256182828165 is an apocalyptic number.

It is an amenable number.

56182828165 is a deficient number, since it is larger than the sum of its proper divisors (15220147115).

56182828165 is a wasteful number, since it uses less digits than its factorization.

56182828165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164232.

The product of its digits is 1843200, while the sum is 52.

The spelling of 56182828165 in words is "fifty-six billion, one hundred eighty-two million, eight hundred twenty-eight thousand, one hundred sixty-five".

Divisors: 1 5 17 85 4129 20645 70193 160081 350965 800405 2721377 13606885 660974449 3304872245 11236565633 56182828165