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55779777797755 = 51121103129164747
BaseRepresentation
bin11001010111011001111011…
…10101110101111001111011
321022111111100121202211010011
430223230331311311321323
524302343441104012010
6314344513130202351
714514645615203404
oct1453547565657173
9238444317684104
1055779777797755
1116856086433500
12630a5b28833b7
13251801a02a05b
14daba8170c9ab
1566ae60164a8a
hex32bb3dd75e7b

55779777797755 has 48 divisors (see below), whose sum is σ = 73698871260672. Its totient is φ = 40498312219200.

The previous prime is 55779777797753. The next prime is 55779777797831.

55779777797755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55779777797755 - 21 = 55779777797753 is a prime.

It is a super-2 number, since 2×557797777977552 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55779777797753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861471292 + ... + 861536038.

It is an arithmetic number, because the mean of its divisors is an integer number (1535393151264).

Almost surely, 255779777797755 is an apocalyptic number.

55779777797755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55779777797755 is a deficient number, since it is larger than the sum of its proper divisors (17919093462917).

55779777797755 is a wasteful number, since it uses less digits than its factorization.

55779777797755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67168 (or 67157 counting only the distinct ones).

The product of its digits is 291843050625, while the sum is 94.

The spelling of 55779777797755 in words is "fifty-five trillion, seven hundred seventy-nine billion, seven hundred seventy-seven million, seven hundred ninety-seven thousand, seven hundred fifty-five".

Divisors: 1 5 11 55 121 605 1103 1291 5515 6455 12133 14201 60665 64747 71005 133463 156211 323735 667315 712217 781055 1423973 3561085 7119865 7834387 15663703 39171935 71415941 78318515 83588377 172300733 357079705 417941885 785575351 861503665 919472147 3927876755 4597360735 8641328861 10114193617 43206644305 50570968085 92197979831 460989899155 1014177778141 5070888890705 11155955559551 55779777797755