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2398402068480 = 214375111217
BaseRepresentation
bin100010111001101011111…
…001110100000000000000
322111021200202121220000000
4202321223321310000000
5303243411412142410
65033451040000000
7335164432132425
oct42715371640000
98437622556000
102398402068480
1184517a494620
123289b0000000
13145225b122b2
1484124739d4c
15425c4484dc0
hex22e6be74000

2398402068480 has 960 divisors, whose sum is σ = 9425194248960. Its totient is φ = 580953047040.

The previous prime is 2398402068451. The next prime is 2398402068497. The reversal of 2398402068480 is 848602048932.

2398402068480 is a `hidden beast` number, since 2 + 3 + 9 + 84 + 0 + 20 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1970748832 + ... + 1970750048.

It is an arithmetic number, because the mean of its divisors is an integer number (9817910676).

Almost surely, 22398402068480 is an apocalyptic number.

2398402068480 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 2398402068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712597124480).

2398402068480 is an abundant number, since it is smaller than the sum of its proper divisors (7026792180480).

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

2398402068480 is an frugal number, since it uses more digits than its factorization.

2398402068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2398402068480 in words is "two trillion, three hundred ninety-eight billion, four hundred two million, sixty-eight thousand, four hundred eighty".