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5134526064 = 243315497673
BaseRepresentation
bin1001100100000101…
…01010011001110000
3111020211111221122000
410302002222121300
541003414313224
62205254414000
7241144515513
oct46202523160
914224457560
105134526064
1121a5340478
12bb3661300
1363a9a0505
14369cbcd7a
15200b7b0c9
hex1320aa670

5134526064 has 80 divisors (see below), whose sum is σ = 14749428000. Its totient is φ = 1710180864.

The previous prime is 5134526051. The next prime is 5134526071. The reversal of 5134526064 is 4606254315.

5134526064 is a `hidden beast` number, since 5 + 1 + 3 + 45 + 2 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 665332 + ... + 673004.

It is an arithmetic number, because the mean of its divisors is an integer number (184367850).

Almost surely, 25134526064 is an apocalyptic number.

5134526064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5134526064 is an abundant number, since it is smaller than the sum of its proper divisors (9614901936).

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

5134526064 is a wasteful number, since it uses less digits than its factorization.

5134526064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9227 counting only the distinct ones).

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

The square root of 5134526064 is about 71655.6073451338. The cubic root of 5134526064 is about 1725.1761846511.

The spelling of 5134526064 in words is "five billion, one hundred thirty-four million, five hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1549 3098 4647 6196 7673 9294 12392 13941 15346 18588 23019 24784 27882 30692 37176 41823 46038 55764 61384 69057 74352 83646 92076 111528 122768 138114 167292 184152 207171 223056 276228 334584 368304 414342 552456 669168 828684 1104912 1657368 3314736 11885477 23770954 35656431 47541908 71312862 95083816 106969293 142625724 190167632 213938586 285251448 320907879 427877172 570502896 641815758 855754344 1283631516 1711508688 2567263032 5134526064