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5103255528 = 23337368881
BaseRepresentation
bin1001100000010110…
…10111111111101000
3111011122200020112000
410300023113333220
540422413134103
62202220251000
7240314646000
oct46013277750
914148606460
105103255528
112189722458
12ba50a0a60
13634372137
14365a9d000
151ed050aa3
hex1302d7fe8

5103255528 has 128 divisors (see below), whose sum is σ = 16531680000. Its totient is φ = 1458051840.

The previous prime is 5103255497. The next prime is 5103255587. The reversal of 5103255528 is 8255523015.

5103255528 is a `hidden beast` number, since 5 + 103 + 25 + 5 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5103255492 and 5103255501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39648 + ... + 108528.

It is an arithmetic number, because the mean of its divisors is an integer number (129153750).

Almost surely, 25103255528 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 5103255528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265840000).

5103255528 is an abundant number, since it is smaller than the sum of its proper divisors (11428424472).

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

5103255528 is a wasteful number, since it uses less digits than its factorization.

5103255528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68917 (or 68893 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 5103255528 is about 71437.0739042411. The cubic root of 5103255528 is about 1721.6668004928. Note that the first 3 decimals are identical.

The spelling of 5103255528 in words is "five billion, one hundred three million, two hundred fifty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 68881 74088 137762 206643 275524 413286 482167 551048 619929 826572 964334 1239858 1446501 1653144 1859787 1928668 2479716 2893002 3375169 3719574 3857336 4339503 4959432 5786004 6750338 7439148 8679006 10125507 11572008 13018509 13500676 14878296 17358012 20251014 23626183 26037018 27001352 30376521 34716024 40502028 47252366 52074036 60753042 70878549 81004056 91129563 94504732 104148072 121506084 141757098 182259126 189009464 212635647 243012168 283514196 364518252 425271294 567028392 637906941 729036504 850542588 1275813882 1701085176 2551627764 5103255528