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57419169225 = 35211313222361
BaseRepresentation
bin110101011110011100…
…101111110111001001
312111012122022000111020
4311132130233313021
51420043301403400
642213352023053
74101620612505
oct653634576711
9174178260436
1057419169225
1122395695770
12b165691a89
135550b694a2
142ac9c01305
151760dac2a0
hexd5e72fdc9

57419169225 has 48 divisors (see below), whose sum is σ = 103894641984. Its totient is φ = 27750528000.

The previous prime is 57419169217. The next prime is 57419169271. The reversal of 57419169225 is 52296191475.

It is not a de Polignac number, because 57419169225 - 23 = 57419169217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147045 + ... + 369405.

It is an arithmetic number, because the mean of its divisors is an integer number (2164471708).

Almost surely, 257419169225 is an apocalyptic number.

57419169225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57419169225 is a deficient number, since it is larger than the sum of its proper divisors (46475472759).

57419169225 is a wasteful number, since it uses less digits than its factorization.

57419169225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222698 (or 222693 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 57419169225 in words is "fifty-seven billion, four hundred nineteen million, one hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 313 825 939 1565 3443 4695 7825 10329 17215 23475 51645 86075 222361 258225 667083 1111805 2445971 3335415 5559025 7337913 12229855 16677075 36689565 61149275 69598993 183447825 208796979 347994965 765588923 1043984895 1739974825 2296766769 3827944615 5219924475 11483833845 19139723075 57419169225