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5145000345 = 3252931712437
BaseRepresentation
bin1001100101010101…
…00111100110011001
3111021120020002122100
410302222213212121
541014110002340
62210311114013
7241332532002
oct46252474631
914246202570
105145000345
112200244a01
12bb7072909
1363cbc9c04
1436b4481a9
15201a49830
hex132aa7999

5145000345 has 48 divisors (see below), whose sum is σ = 9255364560. Its totient is φ = 2640809472.

The previous prime is 5145000323. The next prime is 5145000391. The reversal of 5145000345 is 5430005415.

It can be written as a sum of positive squares in 8 ways, for example, as 1783203984 + 3361796361 = 42228^2 + 57981^2 .

It is not a de Polignac number, because 5145000345 - 25 = 5145000313 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407467 + ... + 419903.

It is an arithmetic number, because the mean of its divisors is an integer number (192820095).

Almost surely, 25145000345 is an apocalyptic number.

It is an amenable number.

5145000345 is a deficient number, since it is larger than the sum of its proper divisors (4110364215).

5145000345 is a wasteful number, since it uses less digits than its factorization.

5145000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5145000345 is about 71728.6577666138. The cubic root of 5145000345 is about 1726.3484906183.

The spelling of 5145000345 in words is "five billion, one hundred forty-five million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 29 45 87 145 261 317 435 951 1305 1585 2853 4755 9193 12437 14265 27579 37311 45965 62185 82737 111933 137895 186555 360673 413685 559665 1082019 1803365 3246057 3942529 5410095 11827587 16230285 19712645 35482761 59137935 114333341 177413805 343000023 571666705 1029000069 1715000115 5145000345