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41630587655640 = 23353137734143287
BaseRepresentation
bin10010111011100111000000…
…11000111001010111011000
312110101211211020021101122120
421131303200120321113120
520424033420414440030
6224312454500421240
711524465525323264
oct1135634030712730
9173354736241576
1041630587655640
11122a0484473a05
1248043536a7820
131a2c99454b809
14a3cd072a30a4
154c2d9180a010
hex25dce06395d8

41630587655640 has 256 divisors, whose sum is σ = 134218665861120. Its totient is φ = 10309821419520.

The previous prime is 41630587655581. The next prime is 41630587655641. The reversal of 41630587655640 is 4655678503614.

It is a happy number.

41630587655640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41630587655641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7976077 + ... + 12119363.

It is an arithmetic number, because the mean of its divisors is an integer number (524291663520).

Almost surely, 241630587655640 is an apocalyptic number.

41630587655640 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 41630587655640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109332930560).

41630587655640 is an abundant number, since it is smaller than the sum of its proper divisors (92588078205480).

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

41630587655640 is a wasteful number, since it uses less digits than its factorization.

41630587655640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143442 (or 4143438 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 60.

The spelling of 41630587655640 in words is "forty-one trillion, six hundred thirty billion, five hundred eighty-seven million, six hundred fifty-five thousand, six hundred forty".