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34748743294356 = 2237131491097194681
BaseRepresentation
bin1111110011010100100101…
…00000000001110110010100
311120000221120122222202201120
413321222102200001312110
514023310411240404411
6201523204032323540
710214341152366630
oct771522240016624
9146027518882646
1034748743294356
111008794a767863
123a926579a35b0
131650a3bc87810
14881bc346ddc0
15403d641e4106
hex1f9a92801d94

34748743294356 has 192 divisors, whose sum is σ = 100553097254400. Its totient is φ = 9094652190720.

The previous prime is 34748743294337. The next prime is 34748743294379. The reversal of 34748743294356 is 65349234784743.

It is a super-2 number, since 2×347487432943562 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178393336 + ... + 178588016.

It is an arithmetic number, because the mean of its divisors is an integer number (523714048200).

Almost surely, 234748743294356 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 34748743294356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276548627200).

34748743294356 is an abundant number, since it is smaller than the sum of its proper divisors (65804353960044).

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

34748743294356 is a wasteful number, since it uses less digits than its factorization.

34748743294356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195954 (or 195952 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 69.

The spelling of 34748743294356 in words is "thirty-four trillion, seven hundred forty-eight billion, seven hundred forty-three million, two hundred ninety-four thousand, three hundred fifty-six".