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40687320961 = 73994911923
BaseRepresentation
bin100101111001001001…
…110011111110000001
310220000120101001121101
4211321021303332001
51131311423232321
630405210254401
72640161344000
oct457111637601
9126016331541
1040687320961
1116289a284a1
127a76127401
133ab55a2861
141d7d9a4c37
1510d2002791
hex979273f81

40687320961 has 16 divisors (see below), whose sum is σ = 47457520000. Its totient is φ = 34868416464.

The previous prime is 40687320937. The next prime is 40687320979. The reversal of 40687320961 is 16902378604.

It is not a de Polignac number, because 40687320961 - 27 = 40687320833 is a prime.

It is a super-3 number, since 3×406873209613 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40687320061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3406546 + ... + 3418468.

It is an arithmetic number, because the mean of its divisors is an integer number (2966095000).

Almost surely, 240687320961 is an apocalyptic number.

It is an amenable number.

40687320961 is a deficient number, since it is larger than the sum of its proper divisors (6770199039).

40687320961 is an equidigital number, since it uses as much as digits as its factorization.

40687320961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21879 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 40687320961 in words is "forty billion, six hundred eighty-seven million, three hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 7 49 343 9949 11923 69643 83461 487501 584227 3412507 4089589 118621927 830353489 5812474423 40687320961