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20875372443450 = 2345273413131171
BaseRepresentation
bin1001011111100011011010…
…01010001011011100111010
32201220122222121011002110000
410233301231022023130322
510214010230321142300
6112222002543333430
74253124122022000
oct457615512133472
981818877132400
1020875372443450
116719217585108
122411953bb1276
13b8570174a175
1452253292aa70
1526303a25dc00
hex12fc6d28b73a

20875372443450 has 960 divisors, whose sum is σ = 69572059603200. Its totient is φ = 4636300032000.

The previous prime is 20875372443427. The next prime is 20875372443451. The reversal of 20875372443450 is 5434427357802.

20875372443450 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 53 + 7 + 244 + 345 + 0 = 666.

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 (20875372443451) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17826961365 + ... + 17826962535.

It is an arithmetic number, because the mean of its divisors is an integer number (72470895420).

Almost surely, 220875372443450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20875372443450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786029801600).

20875372443450 is an abundant number, since it is smaller than the sum of its proper divisors (48696687159750).

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

20875372443450 is a wasteful number, since it uses less digits than its factorization.

20875372443450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 20875372443450 in words is "twenty trillion, eight hundred seventy-five billion, three hundred seventy-two million, four hundred forty-three thousand, four hundred fifty".