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174042705012 = 223117332035639
BaseRepresentation
bin1010001000010111000…
…0001110110001110100
3121122020100001110211120
42202011300032301310
510322414413030022
6211542031103540
715400640404101
oct2420560166164
9548210043746
10174042705012
11678a162a2a0
1229892671bb0
131354867b627
1485d0945aa8
1547d9708d5c
hex2885c0ec74

174042705012 has 96 divisors (see below), whose sum is σ = 449306403840. Its totient is φ = 51992282880.

The previous prime is 174042705007. The next prime is 174042705037. The reversal of 174042705012 is 210507240471.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30861289 + ... + 30866927.

It is an arithmetic number, because the mean of its divisors is an integer number (4680275040).

Almost surely, 2174042705012 is an apocalyptic number.

174042705012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 174042705012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224653201920).

174042705012 is an abundant number, since it is smaller than the sum of its proper divisors (275263698828).

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

174042705012 is a wasteful number, since it uses less digits than its factorization.

174042705012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

Adding to 174042705012 its reverse (210507240471), we get a palindrome (384549945483).

The spelling of 174042705012 in words is "one hundred seventy-four billion, forty-two million, seven hundred five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3203 3212 4818 5639 6406 9609 9636 11278 12812 16917 19218 22556 33834 35233 38436 62029 67668 70466 105699 124058 140932 186087 211398 233819 248116 372174 411647 422796 467638 701457 744348 823294 935276 1234941 1402914 1646588 2469882 2572009 2805828 4528117 4939764 5144018 7716027 9056234 10288036 13584351 15432054 18061717 18112468 27168702 30864108 36123434 54185151 54337404 72246868 108370302 198678887 216740604 397357774 596036661 794715548 1192073322 1318505341 2384146644 2637010682 3955516023 5274021364 7911032046 14503558751 15822064092 29007117502 43510676253 58014235004 87021352506 174042705012