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74116389105 = 325111271178977
BaseRepresentation
bin100010100000110101…
…1100101100011110001
321002022022001200011100
41011001223211203301
52203242243422410
654014255235013
75232446625033
oct1050153454361
9232268050140
1074116389105
1129483851140
1212445518a69
136cb21ca555
1438315c5c53
151ddbbc68c0
hex1141ae58f1

74116389105 has 48 divisors (see below), whose sum is σ = 141250996224. Its totient is φ = 35652234240.

The previous prime is 74116389101. The next prime is 74116389107. The reversal of 74116389105 is 50198361147.

74116389105 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 638 + 9 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 74116389105 - 22 = 74116389101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74116389101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526624 + ... + 652353.

It is an arithmetic number, because the mean of its divisors is an integer number (2942729088).

Almost surely, 274116389105 is an apocalyptic number.

It is an amenable number.

74116389105 is a deficient number, since it is larger than the sum of its proper divisors (67134607119).

74116389105 is a wasteful number, since it uses less digits than its factorization.

74116389105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179126 (or 1179123 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 74116389105 in words is "seventy-four billion, one hundred sixteen million, three hundred eighty-nine thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 127 165 381 495 635 1143 1397 1905 4191 5715 6985 12573 20955 62865 1178977 3536931 5894885 10610793 12968747 17684655 38906241 53053965 64843735 116718723 149730079 194531205 449190237 583593615 748650395 1347570711 1647030869 2245951185 4941092607 6737853555 8235154345 14823277821 24705463035 74116389105