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52205678414352 = 2433735116439461
BaseRepresentation
bin10111101111011000101001…
…11010101100101000010000
320211211210222111020010201000
423313230110322230220100
523320314212133224402
6303010542500342000
713665510243540111
oct1367542472545020
9224753874203630
1052205678414352
11156a83385138a1
125a319880a4900
132318c888573b8
14cc6aa8396208
15607ec9874c1c
hex2f7b14eaca10

52205678414352 has 80 divisors (see below), whose sum is σ = 149870026533760. Its totient is φ = 17399524464000.

The previous prime is 52205678414321. The next prime is 52205678414359. The reversal of 52205678414352 is 25341487650225.

52205678414352 is a `hidden beast` number, since 5 + 2 + 2 + 0 + 567 + 8 + 41 + 4 + 35 + 2 = 666.

52205678414352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×522056784143523 (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52205678414359) 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 15 ways as a sum of consecutive naturals, for example, 5044099 + ... + 11395362.

It is an arithmetic number, because the mean of its divisors is an integer number (1873375331672).

Almost surely, 252205678414352 is an apocalyptic number.

It is an amenable number.

52205678414352 is an abundant number, since it is smaller than the sum of its proper divisors (97664348119408).

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

52205678414352 is a wasteful number, since it uses less digits than its factorization.

52205678414352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16446829 (or 16446817 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 52205678414352 in words is "fifty-two trillion, two hundred five billion, six hundred seventy-eight million, four hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7351 14702 22053 29404 44106 58808 66159 88212 117616 132318 176424 198477 264636 352848 396954 529272 793908 1058544 1587816 3175632 16439461 32878922 49318383 65757844 98636766 131515688 147955149 197273532 263031376 295910298 394547064 443865447 591820596 789094128 887730894 1183641192 1775461788 2367282384 3550923576 7101847152 120846477811 241692955622 362539433433 483385911244 725078866866 966771822488 1087618300299 1450157733732 1933543644976 2175236600598 2900315467464 3262854900897 4350473201196 5800630934928 6525709801794 8700946402392 13051419603588 17401892804784 26102839207176 52205678414352