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5043103436 = 22731109151353
BaseRepresentation
bin1001011001001011…
…11010011011001100
3111000110111012100202
410230211322123030
540312013302221
62152231113032
7235654446320
oct45445723314
914013435322
105043103436
112158778288
12b88b12778
13624a70b97
1435bac1980
151e7b1cd0b
hex12c97a6cc

5043103436 has 96 divisors (see below), whose sum is σ = 10606632960. Its totient is φ = 2052864000.

The previous prime is 5043103433. The next prime is 5043103469. The reversal of 5043103436 is 6343013405.

It is a junction number, because it is equal to n+sod(n) for n = 5043103399 and 5043103408.

It is not an unprimeable number, because it can be changed into a prime (5043103433) 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, 14286236 + ... + 14286588.

It is an arithmetic number, because the mean of its divisors is an integer number (110485760).

Almost surely, 25043103436 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 5043103436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303316480).

5043103436 is an abundant number, since it is smaller than the sum of its proper divisors (5563529524).

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

5043103436 is a wasteful number, since it uses less digits than its factorization.

5043103436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 5043103436 is about 71014.8113846682. The cubic root of 5043103436 is about 1714.8756166113.

The spelling of 5043103436 in words is "five billion, forty-three million, one hundred three thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 62 109 124 151 217 218 302 353 434 436 604 706 763 868 1057 1412 1526 2114 2471 3052 3379 4228 4681 4942 6758 9362 9884 10943 13516 16459 18724 21886 23653 32767 32918 38477 43772 47306 53303 65534 65836 76601 76954 94612 106606 115213 131068 153202 153908 213212 230426 269339 306404 373121 460852 510229 538678 746242 1020458 1077356 1192787 1492484 1652393 2040916 2385574 3304786 3571603 4771148 5810027 6609572 7143206 8349509 11566751 11620054 14286412 16699018 23133502 23240108 33398036 40670189 46267004 81340378 162680756 180110837 360221674 720443348 1260775859 2521551718 5043103436