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41694645564 = 2233111314918119
BaseRepresentation
bin100110110101001100…
…011100110100111100
310222121202211110012000
4212311030130310330
51140342312124224
631053152542300
73004142432265
oct466514346474
9128552743160
1041694645564
11167565a4370
1280b7551990
133c161a5910
14203769b96c
15114067e0c9
hex9b531cd3c

41694645564 has 192 divisors, whose sum is σ = 127854720000. Its totient is φ = 11583924480.

The previous prime is 41694645563. The next prime is 41694645607. The reversal of 41694645564 is 46554649614.

41694645564 is a `hidden beast` number, since 4 + 16 + 9 + 4 + 64 + 5 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 41694645564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41694645563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2292097 + ... + 2310215.

It is an arithmetic number, because the mean of its divisors is an integer number (665910000).

Almost surely, 241694645564 is an apocalyptic number.

41694645564 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 41694645564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63927360000).

41694645564 is an abundant number, since it is smaller than the sum of its proper divisors (86160074436).

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

41694645564 is a wasteful number, since it uses less digits than its factorization.

41694645564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305 (or 18297 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 41694645564 in words is "forty-one billion, six hundred ninety-four million, six hundred forty-five thousand, five hundred sixty-four".