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2334099898368 = 21735719229
BaseRepresentation
bin100001111101110011001…
…100100000000000000000
322021010201102202012100000
4201331303030200000000
5301220214033221433
64544134245200000
7330430112532630
oct41756314400000
98233642665300
102334099898368
1181a9825a7477
12318445400000
1313c148c85c24
1480d847566c0
1540aae1c0113
hex21f73320000

2334099898368 has 1296 divisors, whose sum is σ = 8725209554880. Its totient is φ = 610000699392.

The previous prime is 2334099898367. The next prime is 2334099898373. The reversal of 2334099898368 is 8638989904332.

2334099898368 is a `hidden beast` number, since 2 + 3 + 3 + 409 + 9 + 89 + 83 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2334099898296 and 2334099898305.

It is not an unprimeable number, because it can be changed into a prime (2334099898363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80486203378 + ... + 80486203406.

It is an arithmetic number, because the mean of its divisors is an integer number (6732414780).

Almost surely, 22334099898368 is an apocalyptic number.

2334099898368 is a gapful number since it is divisible by the number (28) 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 2334099898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362604777440).

2334099898368 is an abundant number, since it is smaller than the sum of its proper divisors (6391109656512).

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

2334099898368 is an frugal number, since it uses more digits than its factorization.

2334099898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 2334099898368 in words is "two trillion, three hundred thirty-four billion, ninety-nine million, eight hundred ninety-eight thousand, three hundred sixty-eight".