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34748603148906 = 2322069933048793
BaseRepresentation
bin1111110011010100010100…
…01001011010101001101010
311120000221012220021122022100
413321222022021122221222
514023310114401231111
6201523142104434230
710214334531232413
oct771521211325152
9146027186248270
1034748603148906
1110087888646479
123a92618a78976
131650a18c2920a
14881bac9cc80a
15403d56c5e756
hex1f9a8a25aa6a

34748603148906 has 24 divisors (see below), whose sum is σ = 75325029139620. Its totient is φ = 11577269411136.

The previous prime is 34748603148901. The next prime is 34748603148907. The reversal of 34748603148906 is 60984130684743.

It is a happy number.

34748603148906 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 8 + 603 + 14 + 8 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33944128693281 + 804474455625 = 5826159^2 + 896925^2 .

It is not an unprimeable number, because it can be changed into a prime (34748603148901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 466487155 + ... + 466561638.

Almost surely, 234748603148906 is an apocalyptic number.

34748603148906 is an abundant number, since it is smaller than the sum of its proper divisors (40576425990714).

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

34748603148906 is a wasteful number, since it uses less digits than its factorization.

34748603148906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933050870 (or 933050867 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 34748603148906 in words is "thirty-four trillion, seven hundred forty-eight billion, six hundred three million, one hundred forty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 2069 4138 6207 12414 18621 37242 933048793 1866097586 2799146379 5598292758 8397439137 16794878274 1930477952717 3860955905434 5791433858151 11582867716302 17374301574453 34748603148906