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20396086542 = 232134317311717
BaseRepresentation
bin10010111111101100…
…111001010100001110
31221122102211112211200
4102333230321110032
5313232344232132
613211514530330
71321301606106
oct227754712416
957572745750
1020396086542
118717071777
123b527369a6
131c00778b80
14db6b4c206
157e5909d7c
hex4bfb3950e

20396086542 has 96 divisors (see below), whose sum is σ = 48983302368. Its totient is φ = 6093819648.

The previous prime is 20396086537. The next prime is 20396086547. The reversal of 20396086542 is 24568069302.

20396086542 is a `hidden beast` number, since 2 + 0 + 39 + 608 + 6 + 5 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20396086537) and next prime (20396086547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20396086547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1734868 + ... + 1746584.

It is an arithmetic number, because the mean of its divisors is an integer number (510242733).

Almost surely, 220396086542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20396086542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491651184).

20396086542 is an abundant number, since it is smaller than the sum of its proper divisors (28587215826).

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

20396086542 is a wasteful number, since it uses less digits than its factorization.

20396086542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20396086542 in words is "twenty billion, three hundred ninety-six million, eighty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 173 234 258 346 387 519 559 774 1038 1118 1557 1677 2249 3114 3354 4498 5031 6747 7439 10062 11717 13494 14878 20241 22317 23434 35151 40482 44634 66951 70302 96707 105453 133902 152321 193414 210906 290121 304642 456963 503831 580242 870363 913926 1007662 1370889 1511493 1740726 2027041 2741778 3022986 4054082 4534479 6081123 6549803 9068958 12162246 13099606 18243369 19649409 26351533 36486738 39298818 52703066 58948227 79054599 87162763 117896454 158109198 174325526 237163797 261488289 474327594 522976578 784464867 1133115919 1568929734 2266231838 3399347757 6798695514 10198043271 20396086542