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20664747727542 = 23310330411221751
BaseRepresentation
bin1001011001011011000101…
…11100101001101010110110
32201011112022210120220201000
410230231202330221222312
510202032400404240132
6111541130512544130
74231656466333602
oct454554274515266
981145283526630
1020664747727542
1166479633aa666
122398b72252046
13b6b8a61a0159
14516271748502
1525c80e17a87c
hex12cb62f29ab6

20664747727542 has 64 divisors (see below), whose sum is σ = 46382788408320. Its totient is φ = 6819124320000.

The previous prime is 20664747727501. The next prime is 20664747727583. The reversal of 20664747727542 is 24572774746602.

20664747727542 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 47 + 47 + 7 + 2 + 7 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (20664747727501) and next prime (20664747727583).

It is a self number, because there is not a number n which added to its sum of digits gives 20664747727542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16303167 + ... + 17524917.

It is an arithmetic number, because the mean of its divisors is an integer number (724731068880).

Almost surely, 220664747727542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664747727542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191394204160).

20664747727542 is an abundant number, since it is smaller than the sum of its proper divisors (25718040680778).

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

20664747727542 is a wasteful number, since it uses less digits than its factorization.

20664747727542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224906 (or 1224900 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 63.

The spelling of 20664747727542 in words is "twenty trillion, six hundred sixty-four billion, seven hundred forty-seven million, seven hundred twenty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 3041 5562 6082 9123 18246 27369 54738 82107 164214 313223 626446 939669 1221751 1879338 2443502 2819007 3665253 5638014 7330506 8457021 10995759 16914042 21991518 32987277 65974554 125840353 251680706 377521059 755042118 1132563177 2265126354 3397689531 3715344791 6795379062 7430689582 11146034373 22292068746 33438103119 66876206238 100314309357 200628618714 382680513473 765361026946 1148041540419 2296083080838 3444124621257 6888249242514 10332373863771 20664747727542