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52172411031 = 321323313716903
BaseRepresentation
bin110000100101101101…
…111101000010010111
311222122222121002022200
4300211231331002113
51323322114123111
635545003455543
73524611114416
oct604555750227
9158588532280
1052172411031
1120142a69674
12a1405275b3
134bc5b61940
14274d06947d
151555462256
hexc25b7d097

52172411031 has 96 divisors (see below), whose sum is σ = 89785393152. Its totient is φ = 28914589440.

The previous prime is 52172411023. The next prime is 52172411033. The reversal of 52172411031 is 13011427125.

52172411031 is a `hidden beast` number, since 5 + 217 + 2 + 411 + 0 + 31 = 666.

It is not a de Polignac number, because 52172411031 - 23 = 52172411023 is a prime.

It is a super-2 number, since 2×521724110312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52172410986 and 52172411004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52172411033) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3078126 + ... + 3095028.

It is an arithmetic number, because the mean of its divisors is an integer number (935264512).

Almost surely, 252172411031 is an apocalyptic number.

52172411031 is a deficient number, since it is larger than the sum of its proper divisors (37612982121).

52172411031 is a wasteful number, since it uses less digits than its factorization.

52172411031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17013 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 52172411031 its reverse (13011427125), we get a palindrome (65183838156).

It can be divided in two parts, 52172 and 411031, that added together give a triangular number (463203 = T962).

The spelling of 52172411031 in words is "fifty-two billion, one hundred seventy-two million, four hundred eleven thousand, thirty-one".

Divisors: 1 3 9 13 23 31 37 39 69 93 111 117 207 279 299 333 403 481 713 851 897 1147 1209 1443 2139 2553 2691 3441 3627 4329 6417 7659 9269 10323 11063 14911 16903 26381 27807 33189 44733 50709 79143 83421 99567 134199 152127 219739 237429 342953 388769 523993 625411 659217 1028859 1166307 1571979 1876233 1977651 3086577 3498921 4715937 5053997 5628699 6811909 8130343 12051839 14384453 15161991 19387741 20435727 24391029 36155517 43153359 45485973 58163223 61307181 73173087 108466551 129460077 156673907 174489669 186997889 252040633 445918043 470021721 560993667 756121899 1337754129 1410065163 1682981001 2268365697 4013262387 5796934559 17390803677 52172411031