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2098042806720 = 263572916096691
BaseRepresentation
bin11110100001111101000…
…110001010000111000000
321102120102012200110202210
4132201331012022013000
5233333242424303340
64243454430342120
7304402312416510
oct36417506120700
97376365613683
102098042806720
11739858517683
1229a74635a940
13122ac9736983
147378d9d9840
15398954ad180
hex1e87d18a1c0

2098042806720 has 448 divisors, whose sum is σ = 7881484262400. Its totient is φ = 462659420160.

The previous prime is 2098042806719. The next prime is 2098042806721. The reversal of 2098042806720 is 276082408902.

It is an interprime number because it is at equal distance from previous prime (2098042806719) and next prime (2098042806721).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2098042806720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098042806721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313558575 + ... + 313565265.

It is an arithmetic number, because the mean of its divisors is an integer number (17592598800).

Almost surely, 22098042806720 is an apocalyptic number.

2098042806720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098042806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940742131200).

2098042806720 is an abundant number, since it is smaller than the sum of its proper divisors (5783441455680).

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

2098042806720 is a wasteful number, since it uses less digits than its factorization.

2098042806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2098042806720 in words is "two trillion, ninety-eight billion, forty-two million, eight hundred six thousand, seven hundred twenty".