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5149342128 = 2437163167563
BaseRepresentation
bin1001100101110110…
…01011100110110000
3111021212101200110010
410302323023212300
541021212422003
62210544134520
7241414454160
oct46273134660
914255350403
105149342128
11220273aa57
12bb8607440
13640a8a208
1436bc585a0
15202106003
hex132ecb9b0

5149342128 has 160 divisors (see below), whose sum is σ = 15415013376. Its totient is φ = 1450877184.

The previous prime is 5149342123. The next prime is 5149342129. The reversal of 5149342128 is 8212439415.

It is not an unprimeable number, because it can be changed into a prime (5149342123) 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 31 ways as a sum of consecutive naturals, for example, 9145975 + ... + 9146537.

Almost surely, 25149342128 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 5149342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707506688).

5149342128 is an abundant number, since it is smaller than the sum of its proper divisors (10265671248).

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

5149342128 is a wasteful number, since it uses less digits than its factorization.

5149342128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 5149342128 is about 71758.9167142314. The cubic root of 5149342128 is about 1726.8339666526.

The spelling of 5149342128 in words is "five billion, one hundred forty-nine million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 167 168 326 334 336 489 501 563 652 668 978 1002 1126 1141 1169 1304 1336 1689 1956 2004 2252 2282 2338 2608 2672 3378 3423 3507 3912 3941 4008 4504 4564 4676 6756 6846 7014 7824 7882 8016 9008 9128 9352 11823 13512 13692 14028 15764 18256 18704 23646 27024 27221 27384 28056 31528 47292 54442 54768 56112 63056 81663 91769 94021 94584 108884 163326 183538 188042 189168 190547 217768 275307 282063 326652 367076 376084 381094 435536 550614 564126 571641 642383 653304 658147 734152 752168 762188 1101228 1128252 1143282 1284766 1306608 1316294 1468304 1504336 1524376 1927149 1974441 2202456 2256504 2286564 2569532 2632588 3048752 3854298 3948882 4404912 4513008 4573128 5139064 5265176 7708596 7897764 9146256 10278128 10530352 15325423 15417192 15795528 30650846 30834384 31591056 45976269 61301692 91952538 107277961 122603384 183905076 214555922 245206768 321833883 367810152 429111844 643667766 735620304 858223688 1287335532 1716447376 2574671064 5149342128