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5140662912 = 2732721117487
BaseRepresentation
bin1001100100110100…
…00100101010000000
3111021021001201210200
410302122010222000
541012002203122
62210034125200
7241250625300
oct46232045200
914237051720
105140662912
1121a8852150
12bb5720800
1363c03b898
1436aa39600
1520148e5ac
hex132684a80

5140662912 has 576 divisors, whose sum is σ = 19917368640. Its totient is φ = 1254113280.

The previous prime is 5140662911. The next prime is 5140662941. The reversal of 5140662912 is 2192660415.

5140662912 is a `hidden beast` number, since 5 + 14 + 0 + 6 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5140662911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10555533 + ... + 10556019.

It is an arithmetic number, because the mean of its divisors is an integer number (34578765).

Almost surely, 25140662912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958684320).

5140662912 is an abundant number, since it is smaller than the sum of its proper divisors (14776705728).

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

5140662912 is a wasteful number, since it uses less digits than its factorization.

5140662912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5140662912 is about 71698.4163841852. The cubic root of 5140662912 is about 1725.8632281889.

The spelling of 5140662912 in words is "five billion, one hundred forty million, six hundred sixty-two thousand, nine hundred twelve".