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52151344315125 = 3531143129333527
BaseRepresentation
bin10111101101110011011100…
…10110100011101011110101
320211122121201212000220122120
423312321232112203223311
523313421423121041000
6302525555152150153
713661544633400416
oct1366715626435365
9224577655026576
1052151344315125
1115687296312960
125a23343838359
132313b09bb9423
14cc41d21c380d
156068997626a0
hex2f6e6e5a3af5

52151344315125 has 64 divisors (see below), whose sum is σ = 94888565710848. Its totient is φ = 25226832360000.

The previous prime is 52151344315123. The next prime is 52151344315139.

52151344315125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52151344315125 - 21 = 52151344315123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52151344315123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12888889 + ... + 16444638.

It is an arithmetic number, because the mean of its divisors is an integer number (1482633839232).

Almost surely, 252151344315125 is an apocalyptic number.

52151344315125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52151344315125 is a deficient number, since it is larger than the sum of its proper divisors (42737221395723).

52151344315125 is a wasteful number, since it uses less digits than its factorization.

52151344315125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29333987 (or 29333977 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 52151344315125 in words is "fifty-two trillion, one hundred fifty-one billion, three hundred forty-four million, three hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 431 825 1293 1375 2155 4125 4741 6465 10775 14223 23705 32325 53875 71115 118525 161625 355575 592625 1777875 29333527 88000581 146667635 322668797 440002905 733338175 968006391 1613343985 2200014525 3666690875 4840031955 8066719925 11000072625 12642750137 24200159775 37928250411 40333599625 63213750685 121000798875 139070251507 189641252055 316068753425 417210754521 695351257535 948206260275 1580343767125 2086053772605 3476756287675 4741031301375 10430268863025 17383781438375 52151344315125