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40509547794 = 235793592939
BaseRepresentation
bin100101101110100011…
…101010010100010010
310212120011212020200000
4211232203222110102
51130430421012134
630335420110430
72632602321612
oct455643522422
9125504766600
1040509547794
11161a8646921
127a26695416
133a877cb431
141d6412aa42
1510c15d8e99
hex96e8ea512

40509547794 has 96 divisors (see below), whose sum is σ = 92461824000. Its totient is φ = 13290595344.

The previous prime is 40509547769. The next prime is 40509547853. The reversal of 40509547794 is 49774590504.

40509547794 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 9 + 547 + 7 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40509547794.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13781977 + ... + 13784915.

It is an arithmetic number, because the mean of its divisors is an integer number (963144000).

Almost surely, 240509547794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40509547794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912000).

40509547794 is an abundant number, since it is smaller than the sum of its proper divisors (51952276206).

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

40509547794 is a wasteful number, since it uses less digits than its factorization.

40509547794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 40509547794 in words is "forty billion, five hundred nine million, five hundred forty-seven thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 359 474 486 711 718 1077 1422 2133 2154 2939 3231 4266 5878 6399 6462 8817 9693 12798 17634 19197 19386 26451 28361 29079 38394 52902 56722 58158 79353 85083 87237 158706 170166 174474 232181 238059 255249 464362 476118 510498 696543 714177 765747 1055101 1393086 1428354 1531494 2089629 2110202 2297241 3165303 4179258 4594482 6268887 6330606 6891723 9495909 12537774 13783446 18806661 18991818 28487727 37613322 56419983 56975454 83352979 85463181 112839966 166705958 170926362 250058937 256389543 500117874 512779086 750176811 1500353622 2250530433 4501060866 6751591299 13503182598 20254773897 40509547794