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5203532332240 = 245112990154293
BaseRepresentation
bin100101110111000101010…
…1100100011110011010000
3200102110020010002212210121
41023232022230203303100
51140223313234112430
615022245244440024
71044641245016644
oct113561254436320
920373203085717
105203532332240
111726895389200
12700590549014
132b98ca160458
1413dbd0a40c24
1590550d3ca7a
hex4bb8ab23cd0

5203532332240 has 120 divisors (see below), whose sum is σ = 13299623472744. Its totient is φ = 1891967616000.

The previous prime is 5203532332211. The next prime is 5203532332241. The reversal of 5203532332240 is 422332353025.

It can be written as a sum of positive squares in 4 ways, for example, as 3674520945216 + 1529011387024 = 1916904^2 + 1236532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5203532332196 and 5203532332205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203532332241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95814534 + ... + 95868826.

Almost surely, 25203532332240 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 5203532332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649811736372).

5203532332240 is an abundant number, since it is smaller than the sum of its proper divisors (8096091140504).

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

5203532332240 is a wasteful number, since it uses less digits than its factorization.

5203532332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64229 (or 64212 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 5203532332240 its reverse (422332353025), we get a palindrome (5625864685265).

The spelling of 5203532332240 in words is "five trillion, two hundred three billion, five hundred thirty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 9901 19802 39604 49505 54293 79208 99010 108586 108911 158416 198020 217172 217822 271465 396040 434344 435644 542930 544555 597223 792080 868688 871288 1085860 1089110 1194446 1198021 1742576 2171720 2178220 2388892 2396042 2986115 4343440 4356440 4777784 4792084 5972230 5990105 6569453 8712880 9555568 9584168 11944460 11980210 13138906 19168336 23888920 23960420 26277812 32847265 47777840 47920840 52555624 65694530 95841680 105111248 131389060 262778120 525556240 537554993 1075109986 2150219972 2687774965 4300439944 5375549930 5913104923 8600879888 10751099860 11826209846 21502199720 23652419692 29565524615 43004399440 47304839384 59131049230 65044154153 94609678768 118262098460 130088308306 236524196920 260176616612 325220770765 473048393840 520353233224 650441541530 1040706466448 1300883083060 2601766166120 5203532332240