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5134493375136 = 253217828101997
BaseRepresentation
bin100101010110111011110…
…1001110101101010100000
3200011212000200010110221100
41022231313221311222200
51133110420301001021
614530430444154400
71036645350405426
oct112556751655240
920155020113840
105134493375136
1116aa587721964
126ab123538a00
132b3246b63048
1413a721915116
158d85ecb5626
hex4ab77a75aa0

5134493375136 has 36 divisors (see below), whose sum is σ = 14601215536362. Its totient is φ = 1711497791616.

The previous prime is 5134493375117. The next prime is 5134493375161. The reversal of 5134493375136 is 6315733944315.

5134493375136 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 4 + 93 + 37 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4938368395536 + 196124979600 = 2222244^2 + 442860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8914050711 + ... + 8914051286.

Almost surely, 25134493375136 is an apocalyptic number.

It is an amenable number.

5134493375136 is an abundant number, since it is smaller than the sum of its proper divisors (9466722161226).

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

5134493375136 is a wasteful number, since it uses less digits than its factorization.

5134493375136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17828102013 (or 17828102002 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 5134493375136 in words is "five trillion, one hundred thirty-four billion, four hundred ninety-three million, three hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17828101997 35656203994 53484305991 71312407988 106968611982 142624815976 160452917973 213937223964 285249631952 320905835946 427874447928 570499263904 641811671892 855748895856 1283623343784 1711497791712 2567246687568 5134493375136