Search a number
-
+
5140770424992 = 25323137411133359
BaseRepresentation
bin100101011001110110111…
…0010111000100010100000
3200012110020010111122120100
41022303231302320202200
51133211244212044432
614533345355142400
71040260040426346
oct112635562704240
920173203448510
105140770424992
111702208981374
126b0395744a00
132b3a07452727
1413ab59441996
158dacadc707c
hex4acedcb88a0

5140770424992 has 576 divisors, whose sum is σ = 16021784862720. Its totient is φ = 1559745331200.

The previous prime is 5140770424991. The next prime is 5140770425051. The reversal of 5140770424992 is 2994240770415.

5140770424992 is a `hidden beast` number, since 5 + 1 + 40 + 7 + 70 + 42 + 499 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5140770424991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530445009 + ... + 1530448367.

It is an arithmetic number, because the mean of its divisors is an integer number (27815598720).

Almost surely, 25140770424992 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 5140770424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010892431360).

5140770424992 is an abundant number, since it is smaller than the sum of its proper divisors (10881014437728).

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

5140770424992 is a wasteful number, since it uses less digits than its factorization.

5140770424992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5140770424992 in words is "five trillion, one hundred forty billion, seven hundred seventy million, four hundred twenty-four thousand, nine hundred ninety-two".