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5493763296 = 2532710126981
BaseRepresentation
bin1010001110111010…
…00010110011100000
3112011212111002110200
411013131002303200
542222400411141
62305050225200
7253066134420
oct50735026340
915155432420
105493763296
11236a0a474a
121093a25200
1369723c018
143a18b2480
1522248bab6
hex147742ce0

5493763296 has 144 divisors (see below), whose sum is σ = 18032178528. Its totient is φ = 1554048000.

The previous prime is 5493763267. The next prime is 5493763309. The reversal of 5493763296 is 6923673945.

5493763296 is a `hidden beast` number, since 5 + 493 + 7 + 63 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190126 + ... + 217106.

It is an arithmetic number, because the mean of its divisors is an integer number (125223462).

Almost surely, 25493763296 is an apocalyptic number.

5493763296 is a gapful number since it is divisible by the number (56) 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 5493763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016089264).

5493763296 is an abundant number, since it is smaller than the sum of its proper divisors (12538415232).

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

5493763296 is a wasteful number, since it uses less digits than its factorization.

5493763296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27105 (or 27094 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 5493763296 is about 74119.9250944036. The cubic root of 5493763296 is about 1764.5067111436.

The spelling of 5493763296 in words is "five billion, four hundred ninety-three million, seven hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 14544 16968 22624 25452 26981 29088 33936 50904 53962 67872 80943 101808 107924 161886 188867 203616 215848 242829 323772 377734 431696 485658 566601 647544 755468 863392 971316 1133202 1295088 1510936 1699803 1942632 2266404 2590176 2725081 3021872 3399606 3885264 4532808 5450162 6043744 6799212 7770528 8175243 9065616 10900324 13598424 16350486 18131232 19075567 21800648 24525729 27196848 32700972 38151134 43601296 49051458 54393696 57226701 65401944 76302268 87202592 98102916 114453402 130803888 152604536 171680103 196205832 228906804 261607776 305209072 343360206 392411664 457813608 610418144 686720412 784823328 915627216 1373440824 1831254432 2746881648 5493763296