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41978162424 = 2331117471271567
BaseRepresentation
bin100111000110000101…
…111110110011111000
311000100112022121012110
4213012011332303320
51141432402144144
631141241412320
73014154331122
oct470605766370
9130315277173
1041978162424
111689163a820
12817649a0a0
133c5cb51c83
1420631c0212
15115a4d40b9
hex9c617ecf8

41978162424 has 256 divisors, whose sum is σ = 124853944320. Its totient is φ = 11617966080.

The previous prime is 41978162423. The next prime is 41978162459. The reversal of 41978162424 is 42426187914.

It is a super-2 number, since 2×419781624242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41978162423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26788089 + ... + 26789655.

It is an arithmetic number, because the mean of its divisors is an integer number (487710720).

Almost surely, 241978162424 is an apocalyptic number.

41978162424 is a gapful number since it is divisible by the number (44) 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 41978162424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426972160).

41978162424 is an abundant number, since it is smaller than the sum of its proper divisors (82875781896).

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

41978162424 is a wasteful number, since it uses less digits than its factorization.

41978162424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

It can be divided in two parts, 41978 and 162424, that added together give a palindrome (204402).

The spelling of 41978162424 in words is "forty-one billion, nine hundred seventy-eight million, one hundred sixty-two thousand, four hundred twenty-four".