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341427165784848 = 2433111328135954787
BaseRepresentation
bin100110110100001101011010…
…0111011101110101100010000
31122202220010012020002020202000
41031220122310323232230100
5324222420313420103343
63210053250304154000
7131626204311541563
oct11550326473565420
91582803166066660
10341427165784848
11998754a2109040
1232362a57008900
131186859c721840
14604523d3964da
1529714865bbed3
hex13686b4eeeb10

341427165784848 has 640 divisors, whose sum is σ = 1158692038963200. Its totient is φ = 94897416499200.

The previous prime is 341427165784819. The next prime is 341427165784907. The reversal of 341427165784848 is 848487561724143.

341427165784848 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 2 + 7 + 1 + 6 + 578 + 4 + 8 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6231873711 + ... + 6231928497.

It is an arithmetic number, because the mean of its divisors is an integer number (1810456310880).

Almost surely, 2341427165784848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341427165784848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579346019481600).

341427165784848 is an abundant number, since it is smaller than the sum of its proper divisors (817264873178352).

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

341427165784848 is a wasteful number, since it uses less digits than its factorization.

341427165784848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55468 (or 55456 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 341427165784848 in words is "three hundred forty-one trillion, four hundred twenty-seven billion, one hundred sixty-five million, seven hundred eighty-four thousand, eight hundred forty-eight".