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40766456969 = 7311633793041
BaseRepresentation
bin100101111101110111…
…101100010010001001
310220020002021120210122
4211331313230102021
51131442203110334
630421114353025
72642142111140
oct457567542211
9126202246718
1040766456969
111631a669557
127a9872b775
133ac8abc8b4
141d8a2c4757
1510d8e3532e
hex97ddec489

40766456969 has 32 divisors (see below), whose sum is σ = 48531824640. Its totient is φ = 33508339200.

The previous prime is 40766456963. The next prime is 40766457049. The reversal of 40766456969 is 96965466704.

It is a de Polignac number, because none of the positive numbers 2k-40766456969 is a prime.

It is a super-2 number, since 2×407664569692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40766456963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13404089 + ... + 13407129.

It is an arithmetic number, because the mean of its divisors is an integer number (1516619520).

Almost surely, 240766456969 is an apocalyptic number.

It is an amenable number.

40766456969 is a deficient number, since it is larger than the sum of its proper divisors (7765367671).

40766456969 is a wasteful number, since it uses less digits than its factorization.

40766456969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621.

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 40766456969 in words is "forty billion, seven hundred sixty-six million, four hundred fifty-six thousand, nine hundred sixty-nine".

Divisors: 1 7 31 163 217 379 1141 2653 3041 5053 11749 21287 35371 61777 82243 94271 432439 495683 659897 1152539 1915087 3469781 8067773 13405609 15366173 35728709 107563211 187863857 250100963 1315046999 5823779567 40766456969