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74036735214 = 23138327674133
BaseRepresentation
bin100010011110011101…
…1101110110011101110
321002002202011211120020
41010330323232303232
52203111401011324
654002332103010
75230461602661
oct1047473566356
9232082154506
1074036735214
1129442896a82
1212422904a66
136c9b85b880
143824bad6d8
151dd4be0679
hex113ceeecee

74036735214 has 64 divisors (see below), whose sum is σ = 161482374144. Its totient is φ = 22492492416.

The previous prime is 74036735209. The next prime is 74036735219. The reversal of 74036735214 is 41253763047.

It is an interprime number because it is at equal distance from previous prime (74036735209) and next prime (74036735219).

It is a super-2 number, since 2×740367352142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74036735219) 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 31 ways as a sum of consecutive naturals, for example, 17911492 + ... + 17915624.

It is an arithmetic number, because the mean of its divisors is an integer number (2523162096).

Almost surely, 274036735214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74036735214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80741187072).

74036735214 is an abundant number, since it is smaller than the sum of its proper divisors (87445638930).

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

74036735214 is a wasteful number, since it uses less digits than its factorization.

74036735214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001.

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 74036735214 in words is "seventy-four billion, thirty-six million, seven hundred thirty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 1079 2158 2767 3237 4133 5534 6474 8266 8301 12399 16602 24798 35971 53729 71942 107458 107913 161187 215826 229661 322374 343039 459322 686078 688983 1029117 1377966 2058234 2985593 4459507 5971186 8919014 8956779 11436011 13378521 17913558 22872022 26757042 34308033 68616066 148668143 297336286 446004429 892008858 949188913 1898377826 2847566739 5695133478 12339455869 24678911738 37018367607 74036735214