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41937465000 = 2335419374197
BaseRepresentation
bin100111000011101010…
…101110111010101000
311000020200201221211110
4213003222232322220
51141341442340000
631133225230320
73013151366544
oct470352567250
9130220657743
1041937465000
1116870673192
1281649323a0
133c545a2b62
14205ba28a24
151156b45850
hex9c3aaeea8

41937465000 has 640 divisors, whose sum is σ = 146585577600. Its totient is φ = 9953280000.

The previous prime is 41937464999. The next prime is 41937465013. The reversal of 41937465000 is 56473914.

It is a self number, because there is not a number n which added to its sum of digits gives 41937465000.

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 159 ways as a sum of consecutive naturals, for example, 432344952 + ... + 432345048.

It is an arithmetic number, because the mean of its divisors is an integer number (229039965).

Almost surely, 241937465000 is an apocalyptic number.

41937465000 is a gapful number since it is divisible by the number (40) 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 41937465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73292788800).

41937465000 is an abundant number, since it is smaller than the sum of its proper divisors (104648112600).

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

41937465000 is a wasteful number, since it uses less digits than its factorization.

41937465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 41937465000 in words is "forty-one billion, nine hundred thirty-seven million, four hundred sixty-five thousand".