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4348530358434 = 23380528339971
BaseRepresentation
bin111111010001111000100…
…110110111100010100010
3120101201022120001101002000
4333101320212313202202
51032221242232432214
613125404241104430
7626112431114103
oct77217046674242
916351276041060
104348530358434
111427224026509
125a2936028116
132570ac073c62
141106819323aa
15781adeae809
hex3f4789b78a2

4348530358434 has 16 divisors (see below), whose sum is σ = 9663400796640. Its totient is φ = 1449510119460.

The previous prime is 4348530358409. The next prime is 4348530358639.

4348530358434 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 53 + 0 + 3 + 584 + 3 + 4 = 666.

4348530358434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 80528339971 = 4348530358434 / (4 + 3 + 4 + 8 + 5 + 3 + 0 + 3 + 5 + 8 + 4 + 3 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40264169932 + ... + 40264170039.

It is an arithmetic number, because the mean of its divisors is an integer number (603962549790).

Almost surely, 24348530358434 is an apocalyptic number.

4348530358434 is an abundant number, since it is smaller than the sum of its proper divisors (5314870438206).

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

4348530358434 is a wasteful number, since it uses less digits than its factorization.

4348530358434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80528339982 (or 80528339976 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 4348530358434 in words is "four trillion, three hundred forty-eight billion, five hundred thirty million, three hundred fifty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 80528339971 161056679942 241585019913 483170039826 724755059739 1449510119478 2174265179217 4348530358434