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4705315056 = 2433131974253
BaseRepresentation
bin1000110000111010…
…10110100011110000
3110010220212202211000
410120131112203300
534114030040211
62054523122000
7224413342461
oct43035264360
913126782730
104705315056
111aa5033932
12ab3973300
1359caa20c0
14328cb2d68
151c8147656
hex1187568f0

4705315056 has 160 divisors (see below), whose sum is σ = 14622189120. Its totient is φ = 1440101376.

The previous prime is 4705315019. The next prime is 4705315057. The reversal of 4705315056 is 6505135074.

4705315056 is a `hidden beast` number, since 4 + 70 + 531 + 5 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4705315056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705315057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104226 + ... + 1108478.

It is an arithmetic number, because the mean of its divisors is an integer number (91388682).

Almost surely, 24705315056 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 4705315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311094560).

4705315056 is an abundant number, since it is smaller than the sum of its proper divisors (9916874064).

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

4705315056 is a wasteful number, since it uses less digits than its factorization.

4705315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 4705315056 is about 68595.2990809137. The cubic root of 4705315056 is about 1675.6998701205.

The spelling of 4705315056 in words is "four billion, seven hundred five million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 197 208 216 234 312 351 394 432 468 591 624 702 788 936 1182 1404 1576 1773 1872 2364 2561 2808 3152 3546 4253 4728 5122 5319 5616 7092 7683 8506 9456 10244 10638 12759 14184 15366 17012 20488 21276 23049 25518 28368 30732 34024 38277 40976 42552 46098 51036 55289 61464 68048 69147 76554 85104 92196 102072 110578 114831 122928 138294 153108 165867 184392 204144 221156 229662 276588 306216 331734 368784 442312 459324 497601 553176 612432 663468 837841 884624 918648 995202 1106352 1326936 1492803 1675682 1837296 1990404 2513523 2653872 2985606 3351364 3980808 5027046 5971212 6702728 7540569 7961616 10054092 10891933 11942424 13405456 15081138 20108184 21783866 22621707 23884848 30162276 32675799 40216368 43567732 45243414 60324552 65351598 87135464 90486828 98027397 120649104 130703196 174270928 180973656 196054794 261406392 294082191 361947312 392109588 522812784 588164382 784219176 1176328764 1568438352 2352657528 4705315056