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40555212264 = 233271926316103
BaseRepresentation
bin100101110001010001…
…110110110111101000
310212200100210020112200
4211301101312313220
51131024113243024
630344130540200
72633665421310
oct456121666750
9125610706480
1040555212264
11162213a6256
127a39a37660
133a940c9328
141d6a216440
1510c56092c9
hex971476de8

40555212264 has 192 divisors, whose sum is σ = 132645427200. Its totient is φ = 10934932608.

The previous prime is 40555212251. The next prime is 40555212289. The reversal of 40555212264 is 46221255504.

40555212264 is a `hidden beast` number, since 4 + 0 + 55 + 521 + 22 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2510437 + ... + 2526539.

It is an arithmetic number, because the mean of its divisors is an integer number (690861600).

Almost surely, 240555212264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40555212264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66322713600).

40555212264 is an abundant number, since it is smaller than the sum of its proper divisors (92090214936).

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

40555212264 is a wasteful number, since it uses less digits than its factorization.

40555212264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 40555212264 its reverse (46221255504), we get a palindrome (86776467768).

The spelling of 40555212264 in words is "forty billion, five hundred fifty-five million, two hundred twelve thousand, two hundred sixty-four".