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5838410148385 = 523435322276781
BaseRepresentation
bin101010011110101110001…
…0111001110101000100001
3202200010221211201120111011
41110331130113032220201
51231124030444222020
620230043435420521
71141545150303103
oct124753427165041
922603854646434
105838410148385
11195106835a241
127a36338b4741
13334737901699
1416281b0a7573
15a1d0cb5335a
hex54f5c5cea21

5838410148385 has 32 divisors (see below), whose sum is σ = 7621867300608. Its totient is φ = 4281418901760.

The previous prime is 5838410148383. The next prime is 5838410148401.

5838410148385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5838410148385 - 21 = 5838410148383 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5838410148383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10876306 + ... + 11400475.

It is an arithmetic number, because the mean of its divisors is an integer number (238183353144).

Almost surely, 25838410148385 is an apocalyptic number.

It is an amenable number.

5838410148385 is a deficient number, since it is larger than the sum of its proper divisors (1783457152223).

5838410148385 is a wasteful number, since it uses less digits than its factorization.

5838410148385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22276905.

The product of its (nonzero) digits is 14745600, while the sum is 58.

The spelling of 5838410148385 in words is "five trillion, eight hundred thirty-eight billion, four hundred ten million, one hundred forty-eight thousand, three hundred eighty-five".

Divisors: 1 5 23 43 53 115 215 265 989 1219 2279 4945 6095 11395 52417 262085 22276781 111383905 512365963 957901583 1180669393 2561829815 4789507915 5903346965 22031736409 27155396039 50768783899 110158682045 135776980195 253843919495 1167682029677 5838410148385