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40565068704 = 253317191371061
BaseRepresentation
bin100101110001110111…
…011101001110100000
310212201001100000001000
4211301313131032200
51131034124144304
630345122112000
72634145252266
oct456167351640
9125631300030
1040565068704
1116226a18576
127a411ab600
133a9616a744
141d6b660436
1510c6404939
hex971ddd3a0

40565068704 has 384 divisors, whose sum is σ = 132955603200. Its totient is φ = 11957207040.

The previous prime is 40565068669. The next prime is 40565068727. The reversal of 40565068704 is 40786056504.

40565068704 is a `hidden beast` number, since 4 + 0 + 565 + 0 + 6 + 87 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40565068704.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 38232334 + ... + 38233394.

It is an arithmetic number, because the mean of its divisors is an integer number (346238550).

Almost surely, 240565068704 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 40565068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66477801600).

40565068704 is an abundant number, since it is smaller than the sum of its proper divisors (92390534496).

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

40565068704 is a wasteful number, since it uses less digits than its factorization.

40565068704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40565068704 in words is "forty billion, five hundred sixty-five million, sixty-eight thousand, seven hundred four".