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52134643125 = 3254131139509
BaseRepresentation
bin110000100011011101…
…111000010110110101
311222120100112021111100
4300203131320112311
51323232432040000
635541134200313
73523642104045
oct604335702665
9158510467440
1052134643125
1120123713024
12a12b953099
134bbb09a076
142748037725
151551ea1a00
hexc237785b5

52134643125 has 120 divisors (see below), whose sum is σ = 95689994400. Its totient is φ = 27340560000.

The previous prime is 52134643117. The next prime is 52134643139.

52134643125 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 4 + 643 + 1 + 2 + 5 = 666.

52134643125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52134643125 - 23 = 52134643117 is a prime.

It is a super-2 number, since 2×521346431252 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52134643125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102425371 + ... + 102425879.

It is an arithmetic number, because the mean of its divisors is an integer number (797416620).

Almost surely, 252134643125 is an apocalyptic number.

It is an amenable number.

52134643125 is a deficient number, since it is larger than the sum of its proper divisors (43555351275).

52134643125 is a wasteful number, since it uses less digits than its factorization.

52134643125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 787 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 52134643125 in words is "fifty-two billion, one hundred thirty-four million, six hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 131 139 225 375 393 417 509 625 655 695 1125 1179 1251 1527 1875 1965 2085 2545 3275 3475 4581 5625 5895 6255 7635 9825 10425 12725 16375 17375 18209 22905 29475 31275 38175 49125 52125 54627 63625 66679 70751 81875 86875 91045 114525 147375 156375 163881 190875 200037 212253 245625 260625 273135 318125 333395 353755 455225 572625 600111 636759 736875 781875 819405 954375 1000185 1061265 1365675 1666975 1768775 2276125 2863125 3000555 3183795 4097025 5000925 5306325 6828375 8334875 8843875 9268381 11380625 15002775 15918975 20485125 25004625 26531625 27805143 34141875 41674375 44219375 46341905 75013875 79594875 83415429 102425625 125023125 132658125 139025715 231709525 375069375 397974375 417077145 695128575 1158547625 2085385725 3475642875 5792738125 10426928625 17378214375 52134643125