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264340213442652 = 2231723950031083689
BaseRepresentation
bin111100000110101010000000…
…100001011010100001011100
31021122221200021222022211222210
4330012222000201122201130
5234121422224120131102
62334112115000440420
7106451643625105434
oct7406520041324134
91248850258284883
10264340213442652
1177255067175a46
1225792aa2779110
13b466237ac9a79
14493c1c548b2c4
1520861678a536c
hexf06a8085a85c

264340213442652 has 96 divisors (see below), whose sum is σ = 655940044569600. Its totient is φ = 82566691551232.

The previous prime is 264340213442531. The next prime is 264340213442653. The reversal of 264340213442652 is 256244312043462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264340213442653) 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 31 ways as a sum of consecutive naturals, for example, 243384424 + ... + 244468112.

It is an arithmetic number, because the mean of its divisors is an integer number (6832708797600).

Almost surely, 2264340213442652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264340213442652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327970022284800).

264340213442652 is an abundant number, since it is smaller than the sum of its proper divisors (391599831126948).

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

264340213442652 is a wasteful number, since it uses less digits than its factorization.

264340213442652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088955 (or 1088953 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 264340213442652 in words is "two hundred sixty-four trillion, three hundred forty billion, two hundred thirteen million, four hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 239 478 717 956 1434 2868 4063 5003 8126 10006 12189 15009 16252 20012 24378 30018 48756 60036 85051 170102 255153 340204 510306 1020612 1083689 1195717 2167378 2391434 3251067 3587151 4334756 4782868 6502134 7174302 13004268 14348604 18422713 20327189 36845426 40654378 55268139 60981567 73690852 81308756 110536278 121963134 221072556 243926268 259001671 518003342 777005013 1036006684 1554010026 3108020052 4403028407 5421696067 8806056814 10843392134 13209085221 16265088201 17612113628 21686784268 26418170442 32530176402 52836340884 65060352804 92168833139 184337666278 276506499417 368675332556 553012998834 1106025997668 1295785360013 2591570720026 3887356080039 5183141440052 7774712160078 15549424320156 22028351120221 44056702240442 66085053360663 88113404480884 132170106721326 264340213442652