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34973747928 = 23327236734483
BaseRepresentation
bin100000100100100110…
…010000101011011000
310100021101021110212100
4200210212100223120
51033111234413203
624022224443400
72345452644450
oct404446205330
9110241243770
1034973747928
1113917850509
126940779560
1333b4961902
14199ac34d60
15d9a5e6ea3
hex824990ad8

34973747928 has 192 divisors, whose sum is σ = 113151767040. Its totient is φ = 9541711872.

The previous prime is 34973747911. The next prime is 34973747933. The reversal of 34973747928 is 82974737943.

34973747928 is a `hidden beast` number, since 3 + 497 + 3 + 74 + 79 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7799175 + ... + 7803657.

It is an arithmetic number, because the mean of its divisors is an integer number (589332120).

Almost surely, 234973747928 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 34973747928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56575883520).

34973747928 is an abundant number, since it is smaller than the sum of its proper divisors (78178019112).

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

34973747928 is a wasteful number, since it uses less digits than its factorization.

34973747928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5191 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 34973747928 in words is "thirty-four billion, nine hundred seventy-three million, seven hundred forty-seven thousand, nine hundred twenty-eight".