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57777400505 = 5113728391843
BaseRepresentation
bin110101110011110011…
…010010101010111001
312112010121101001102102
4311303303102222321
51421312003304010
642313110113145
74113530541536
oct656363225271
9175117331372
1057777400505
1122559922180
12b24564b7b5
1355aa145166
142b21611d8d
15178256eba5
hexd73cd2ab9

57777400505 has 16 divisors (see below), whose sum is σ = 77680085184. Its totient is φ = 40884252480.

The previous prime is 57777400451. The next prime is 57777400517. The reversal of 57777400505 is 50500477775.

It is a de Polignac number, because none of the positive numbers 2k-57777400505 is a prime.

It is a super-3 number, since 3×577774005053 (a number of 33 digits) contains 333 as substring.

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 57777400505.

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, 14193887 + ... + 14197956.

It is an arithmetic number, because the mean of its divisors is an integer number (4855005324).

Almost surely, 257777400505 is an apocalyptic number.

57777400505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57777400505 is a deficient number, since it is larger than the sum of its proper divisors (19902684679).

57777400505 is a wasteful number, since it uses less digits than its factorization.

57777400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28391896.

The product of its (nonzero) digits is 1200500, while the sum is 47.

The spelling of 57777400505 in words is "fifty-seven billion, seven hundred seventy-seven million, four hundred thousand, five hundred five".

Divisors: 1 5 11 37 55 185 407 2035 28391843 141959215 312310273 1050498191 1561551365 5252490955 11555480101 57777400505