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40364920087362 = 23213647266614619
BaseRepresentation
bin10010010110110001100001…
…01110010010001101000010
312021220211220200110011211200
421023120300232102031002
520242314324020243422
6221503215512122030
711334161230440663
oct1113306056221502
9167824820404750
1040364920087362
1111952737094932
12463abaa096316
13196a51b282740
149d795b6cd36a
1549eeb6a4c2ac
hex24b630b92342

40364920087362 has 48 divisors (see below), whose sum is σ = 94330385472960. Its totient is φ = 12400779112416.

The previous prime is 40364920087361. The next prime is 40364920087363. The reversal of 40364920087362 is 26378002946304.

40364920087362 is a `hidden beast` number, since 4 + 0 + 36 + 49 + 200 + 8 + 7 + 362 = 666.

It is an interprime number because it is at equal distance from previous prime (40364920087361) and next prime (40364920087363).

It is a junction number, because it is equal to n+sod(n) for n = 40364920087299 and 40364920087308.

It is not an unprimeable number, because it can be changed into a prime (40364920087361) 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 23 ways as a sum of consecutive naturals, for example, 133155912 + ... + 133458707.

It is an arithmetic number, because the mean of its divisors is an integer number (1965216364020).

Almost surely, 240364920087362 is an apocalyptic number.

40364920087362 is an abundant number, since it is smaller than the sum of its proper divisors (53965465385598).

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

40364920087362 is a wasteful number, since it uses less digits than its factorization.

40364920087362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266615287 (or 266615284 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 40364920087362 in words is "forty trillion, three hundred sixty-four billion, nine hundred twenty million, eighty-seven thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 647 1294 1941 3882 5823 8411 11646 16822 25233 50466 75699 151398 266614619 533229238 799843857 1599687714 2399531571 3465990047 4799063142 6931980094 10397970141 20795940282 31193910423 62387820846 172499658493 344999316986 517498975479 1034997950958 1552496926437 2242495560409 3104993852874 4484991120818 6727486681227 13454973362454 20182460043681 40364920087362