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34953228544 = 281312782699
BaseRepresentation
bin100000100011010111…
…111111000100000000
310100012221122222120011
4200203113333010000
51033041011303134
624020212554304
72345113353253
oct404327770400
9110187588504
1034953228544
1113907205a43
126935922994
1333b0628c70
14199821309a
15d988e2264
hex8235ff100

34953228544 has 72 divisors (see below), whose sum is σ = 75729382400. Its totient is φ = 16005040128.

The previous prime is 34953228517. The next prime is 34953228599. The reversal of 34953228544 is 44582235943.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381307 + ... + 464005.

Almost surely, 234953228544 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 34953228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864691200).

34953228544 is an abundant number, since it is smaller than the sum of its proper divisors (40776153856).

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

34953228544 is a wasteful number, since it uses less digits than its factorization.

34953228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82855 (or 82841 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 34953228544 in words is "thirty-four billion, nine hundred fifty-three million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 832 1016 1651 1664 2032 3302 3328 4064 6604 8128 13208 16256 26416 32512 52832 82699 105664 165398 211328 330796 422656 661592 1075087 1323184 2150174 2646368 4300348 5292736 8600696 10502773 10585472 17201392 21005546 21170944 34402784 42011092 68805568 84022184 136536049 137611136 168044368 273072098 275222272 336088736 546144196 672177472 1092288392 1344354944 2184576784 2688709888 4369153568 8738307136 17476614272 34953228544