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41631980544 = 21032721117229
BaseRepresentation
bin100110110001011101…
…011001110000000000
310222110101220201221100
4212301131121300000
51140230241334134
631043033454400
73002451665400
oct466135316000
9128411821840
1041631980544
11167241931a0
12809a571400
133c0620491b
14202d228800
151139e01999
hex9b1759c00

41631980544 has 1188 divisors, whose sum is σ = 167639720040. Its totient is φ = 9826467840.

The previous prime is 41631980539. The next prime is 41631980557. The reversal of 41631980544 is 44508913614.

41631980544 is a `hidden beast` number, since 4 + 1 + 631 + 9 + 8 + 0 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41631980544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1435585522 + ... + 1435585550.

Almost surely, 241631980544 is an apocalyptic number.

41631980544 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 41631980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83819860020).

41631980544 is an abundant number, since it is smaller than the sum of its proper divisors (126007739496).

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

41631980544 is a wasteful number, since it uses less digits than its factorization.

41631980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41631980544 in words is "forty-one billion, six hundred thirty-one million, nine hundred eighty thousand, five hundred forty-four".