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34771068416 = 29716975717
BaseRepresentation
bin100000011000100001…
…000110011000000000
310022202020220021211202
4200120201012120000
51032202343142131
623550144400332
72340442130210
oct403041063000
9108666807752
1034771068416
11138233a8387
1268a49160a8
133381979ac6
14197bd56240
15d8790dbcb
hex818846600

34771068416 has 80 divisors (see below), whose sum is σ = 79459798176. Its totient is φ = 14890500096.

The previous prime is 34771068383. The next prime is 34771068419. The reversal of 34771068416 is 61486017743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34771068419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6079190 + ... + 6084906.

Almost surely, 234771068416 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 34771068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39729899088).

34771068416 is an abundant number, since it is smaller than the sum of its proper divisors (44688729760).

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

34771068416 is an equidigital number, since it uses as much as digits as its factorization.

34771068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 34771068416 in words is "thirty-four billion, seven hundred seventy-one million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1697 1792 3394 3584 5717 6788 11434 11879 13576 22868 23758 27152 40019 45736 47516 54304 80038 91472 95032 108608 160076 182944 190064 217216 320152 365888 380128 434432 640304 731776 760256 868864 1280608 1463552 1520512 2561216 2927104 3041024 5122432 6082048 9701749 10244864 19403498 20489728 38806996 67912243 77613992 135824486 155227984 271648972 310455968 543297944 620911936 1086595888 1241823872 2173191776 2483647744 4346383552 4967295488 8692767104 17385534208 34771068416