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40769457993 = 32111938356591
BaseRepresentation
bin100101111110000011…
…001000111101001001
310220020021221001102200
4211332003020331021
51131443440123433
630421302550413
72642206450365
oct457603107511
9126207831380
1040769457993
1116321329240
127a99738409
133ac9600854
141d8a8662a5
1510d9329613
hex97e0c8f49

40769457993 has 48 divisors (see below), whose sum is σ = 67801743360. Its totient is φ = 23346770400.

The previous prime is 40769457983. The next prime is 40769458001. The reversal of 40769457993 is 39975496704.

40769457993 is a `hidden beast` number, since 407 + 6 + 94 + 57 + 9 + 93 = 666.

40769457993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40769457993 - 24 = 40769457977 is a prime.

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 40769457993.

It is not an unprimeable number, because it can be changed into a prime (40769457983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692128 + ... + 748718.

It is an arithmetic number, because the mean of its divisors is an integer number (1412536320).

Almost surely, 240769457993 is an apocalyptic number.

It is an amenable number.

40769457993 is a deficient number, since it is larger than the sum of its proper divisors (27032285367).

40769457993 is a wasteful number, since it uses less digits than its factorization.

40769457993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57010 (or 57007 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 40769457993 in words is "forty billion, seven hundred sixty-nine million, four hundred fifty-seven thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 19 33 57 99 171 209 383 627 1149 1881 3447 4213 7277 12639 21831 37917 56591 65493 80047 169773 240141 509319 622501 720423 1075229 1867503 3225687 5602509 9677061 11827519 21674353 35482557 65023059 106447671 195069177 238417883 411812707 715253649 1235438121 2145760947 3706314363 4529939777 13589819331 40769457993