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41922556368 = 24371122931237
BaseRepresentation
bin100111000010110001…
…110111000111010000
311000012122200112000220
4213002301313013100
51141324133300433
631131533513040
73012610564260
oct470261670720
9130178615026
1041922556368
1116863210100
12815b942780
133c51482c94
142059a677a0
15115569d2b3
hex9c2c771d0

41922556368 has 720 divisors, whose sum is σ = 149354190720. Its totient is φ = 9899366400.

The previous prime is 41922556309. The next prime is 41922556453. The reversal of 41922556368 is 86365522914.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (3110400) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 41922556368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1133042046 + ... + 1133042082.

It is an arithmetic number, because the mean of its divisors is an integer number (207436376).

Almost surely, 241922556368 is an apocalyptic number.

41922556368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41922556368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74677095360).

41922556368 is an abundant number, since it is smaller than the sum of its proper divisors (107431634352).

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

41922556368 is a wasteful number, since it uses less digits than its factorization.

41922556368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 120 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 41922556368 in words is "forty-one billion, nine hundred twenty-two million, five hundred fifty-six thousand, three hundred sixty-eight".