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6052983144 = 23313176717033
BaseRepresentation
bin1011010001100100…
…10011000101101000
3120121211202101212220
411220302103011220
544344030430034
62440344234040
7302666336115
oct55062230550
916554671786
106052983144
11262682990a
12120b16b920
13756059c40
14415c8190c
15256601749
hex168c93168

6052983144 has 128 divisors (see below), whose sum is σ = 17513677440. Its totient is φ = 1726636032.

The previous prime is 6052983113. The next prime is 6052983149. The reversal of 6052983144 is 4413892506.

It is a junction number, because it is equal to n+sod(n) for n = 6052983096 and 6052983105.

It is not an unprimeable number, because it can be changed into a prime (6052983149) 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, 346852 + ... + 363884.

It is an arithmetic number, because the mean of its divisors is an integer number (136825605).

Almost surely, 26052983144 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 6052983144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756838720).

6052983144 is an abundant number, since it is smaller than the sum of its proper divisors (11460694296).

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

6052983144 is a wasteful number, since it uses less digits than its factorization.

6052983144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17139 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6052983144 is about 77800.9199431472. The cubic root of 6052983144 is about 1822.4536346521.

The spelling of 6052983144 in words is "six billion, fifty-two million, nine hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 67 68 78 102 104 134 136 156 201 204 221 268 312 402 408 442 536 663 804 871 884 1139 1326 1608 1742 1768 2278 2613 2652 3417 3484 4556 5226 5304 6834 6968 9112 10452 13668 14807 17033 20904 27336 29614 34066 44421 51099 59228 68132 88842 102198 118456 136264 177684 204396 221429 289561 355368 408792 442858 579122 664287 868683 885716 1141211 1158244 1328574 1737366 1771432 2282422 2316488 2657148 3423633 3474732 3764293 4564844 5314296 6847266 6949464 7528586 9129688 11292879 13694532 14835743 15057172 19400587 22585758 27389064 29671486 30114344 38801174 44507229 45171516 58201761 59342972 77602348 89014458 90343032 116403522 118685944 155204696 178028916 232807044 252207631 356057832 465614088 504415262 756622893 1008830524 1513245786 2017661048 3026491572 6052983144