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5310000465 = 3571134713249
BaseRepresentation
bin1001111001000000…
…00010110101010001
3111201001200222020220
410330200002311101
541333330003330
62234523423253
7245405154630
oct47440026521
914631628226
105310000465
1122853a1a40
121042384b29
1366814b513
14385319517
1521128d710
hex13c802d51

5310000465 has 64 divisors (see below), whose sum is σ = 10623744000. Its totient is φ = 2200227840.

The previous prime is 5310000401. The next prime is 5310000467. The reversal of 5310000465 is 5640000135.

It is not a de Polignac number, because 5310000465 - 26 = 5310000401 is a prime.

It is a super-3 number, since 3×53100004653 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5310000467) 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 63 ways as a sum of consecutive naturals, for example, 394161 + ... + 407409.

It is an arithmetic number, because the mean of its divisors is an integer number (165996000).

Almost surely, 25310000465 is an apocalyptic number.

5310000465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5310000465 is an abundant number, since it is smaller than the sum of its proper divisors (5313743535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5310000465 is a wasteful number, since it uses less digits than its factorization.

5310000465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5310000465 is about 72869.7499995712. The cubic root of 5310000465 is about 1744.6093125680.

The spelling of 5310000465 in words is "five billion, three hundred ten million, four hundred sixty-five", and thus it is an aban number.

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 347 385 1041 1155 1735 2429 3817 5205 7287 11451 12145 13249 19085 26719 36435 39747 57255 66245 80157 92743 133595 145739 198735 278229 400785 437217 463715 728695 1020173 1391145 2186085 3060519 4597403 5100865 13792209 15302595 22987015 32181821 50571433 68961045 96545463 151714299 160909105 252857165 354000031 482727315 758571495 1062000093 1770000155 5310000465