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5089063392 = 253275347629
BaseRepresentation
bin1001011110101010…
…01111000111100000
3111010122222012120100
410233111033013200
540410300012032
62200552142400
7240053216340
oct45725170740
914118865510
105089063392
112181709716
12ba0397a00
1363144341a
14363c46d20
151ebb9a97c
hex12f54f1e0

5089063392 has 144 divisors (see below), whose sum is σ = 16851875040. Its totient is φ = 1426553856.

The previous prime is 5089063391. The next prime is 5089063429. The reversal of 5089063392 is 2933609805.

5089063392 is a `hidden beast` number, since 5 + 0 + 8 + 9 + 0 + 633 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5089063391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83034 + ... + 130662.

It is an arithmetic number, because the mean of its divisors is an integer number (117026910).

Almost surely, 25089063392 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 5089063392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425937520).

5089063392 is an abundant number, since it is smaller than the sum of its proper divisors (11762811648).

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

5089063392 is a wasteful number, since it uses less digits than its factorization.

5089063392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47705 (or 47694 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5089063392 is about 71337.6716188579. The cubic root of 5089063392 is about 1720.0693355861.

The spelling of 5089063392 in words is "five billion, eighty-nine million, sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 47629 53424 95258 106848 142887 190516 285774 333403 381032 428661 571548 666806 762064 857322 1000209 1143096 1333612 1524128 1714644 2000418 2286192 2524337 2667224 3000627 3429288 4000836 4572384 5048674 5334448 6001254 6858576 7573011 8001672 10097348 10668896 12002508 13717152 15146022 16003344 17670359 20194696 22719033 24005016 30292044 32006688 35340718 40389392 45438066 48010032 53011077 60584088 70681436 80778784 90876132 96020064 106022154 121168176 141362872 159033231 181752264 212044308 242336352 282725744 318066462 363504528 424088616 565451488 636132924 727009056 848177232 1272265848 1696354464 2544531696 5089063392