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5649872514 = 23111317509761
BaseRepresentation
bin1010100001100001…
…00011011010000010
3112120202020021001120
411100300203122002
543032331410024
62332344213110
7260003060346
oct52060433202
915522207046
105649872514
11243a229930
12111816a196
136c0699840
143b850b626
15231026479
hex150c23682

5649872514 has 128 divisors (see below), whose sum is σ = 14102242560. Its totient is φ = 1482547200.

The previous prime is 5649872507. The next prime is 5649872533. The reversal of 5649872514 is 4152789465.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7423894 + ... + 7424654.

It is an arithmetic number, because the mean of its divisors is an integer number (110173770).

It is the magic constant of a 2244 × 2244 magic square.

Almost surely, 25649872514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649872514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051121280).

5649872514 is an abundant number, since it is smaller than the sum of its proper divisors (8452370046).

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

5649872514 is a wasteful number, since it uses less digits than its factorization.

5649872514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316.

The product of its digits is 2419200, while the sum is 51.

The square root of 5649872514 is about 75165.6338628232. The cubic root of 5649872514 is about 1781.0640982080.

The spelling of 5649872514 in words is "five billion, six hundred forty-nine million, eight hundred seventy-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 509 561 663 761 858 1018 1122 1326 1522 1527 2283 2431 3054 4566 4862 5599 6617 7293 8371 8653 9893 11198 12937 13234 14586 16742 16797 17306 19786 19851 25113 25874 25959 29679 33594 38811 39702 50226 51918 59358 72787 77622 95183 108823 112489 142307 145574 168181 190366 217646 218361 224978 284614 285549 326469 336362 337467 387349 426921 436722 504543 571098 652938 674934 774698 853842 1009086 1162047 1237379 1849991 2324094 2474758 3699982 3712137 4260839 5035537 5549973 6584933 7424274 8521678 10071074 11099946 12782517 13169866 15106611 19754799 25565034 30213222 39509598 55390907 72434263 85604129 110781814 144868526 166172721 171208258 217302789 256812387 332345442 434605578 513624774 941645419 1883290838 2824936257 5649872514