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5142405177 = 337132160997
BaseRepresentation
bin1001100101000001…
…01110000000111001
3111021101100020202000
410302200232000321
541012423431202
62210135331213
7241301502630
oct46240560071
914241306660
105142405177
1121a9832138
12bb6220b09
1363c4cb900
1436ad70517
152016d591c
hex13282e039

5142405177 has 48 divisors (see below), whose sum is σ = 9428042880. Its totient is φ = 2712460608.

The previous prime is 5142405139. The next prime is 5142405179. The reversal of 5142405177 is 7715042415.

5142405177 is a `hidden beast` number, since 514 + 24 + 0 + 51 + 77 = 666.

It is not a de Polignac number, because 5142405177 - 28 = 5142404921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5142405179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48558 + ... + 112439.

It is an arithmetic number, because the mean of its divisors is an integer number (196417560).

Almost surely, 25142405177 is an apocalyptic number.

It is an amenable number.

5142405177 is a deficient number, since it is larger than the sum of its proper divisors (4285637703).

5142405177 is a wasteful number, since it uses less digits than its factorization.

5142405177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161039 (or 161020 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5142405177 is about 71710.5653094438. The cubic root of 5142405177 is about 1726.0581817395.

The spelling of 5142405177 in words is "five billion, one hundred forty-two million, four hundred five thousand, one hundred seventy-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 273 351 507 819 1183 1521 2457 3549 4563 10647 31941 160997 482991 1126979 1448973 2092961 3380937 4346919 6278883 10142811 14650727 18836649 27208493 30428433 43952181 56509947 81625479 131856543 190459451 244876437 395569629 571378353 734629311 1714135059 5142405177