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5200565216 = 257211535689
BaseRepresentation
bin1001101011111101…
…00101001111100000
3111102102210002022112
410311332211033200
541122321041331
62220014054452
7242606034500
oct46576451740
914372702275
105200565216
112229646690
1210117aa428
1364b583232
1437498da00
1520687332b
hex135fa53e0

5200565216 has 144 divisors (see below), whose sum is σ = 13240447920. Its totient is φ = 1987614720.

The previous prime is 5200565171. The next prime is 5200565219. The reversal of 5200565216 is 6125650025.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200565219) 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, 911300 + ... + 916988.

It is an arithmetic number, because the mean of its divisors is an integer number (91947555).

Almost surely, 25200565216 is an apocalyptic number.

5200565216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200565216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620223960).

5200565216 is an abundant number, since it is smaller than the sum of its proper divisors (8039882704).

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

5200565216 is a wasteful number, since it uses less digits than its factorization.

5200565216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5200565216 is about 72114.9444706158. The cubic root of 5200565216 is about 1732.5409792028.

The spelling of 5200565216 in words is "five billion, two hundred million, five hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 53 56 77 88 98 106 112 154 176 196 212 224 308 352 371 392 424 539 583 616 742 784 848 1078 1166 1232 1484 1568 1696 2156 2332 2464 2597 2968 4081 4312 4664 5194 5689 5936 8162 8624 9328 10388 11378 11872 16324 17248 18656 20776 22756 28567 32648 39823 41552 45512 57134 62579 65296 79646 83104 91024 114268 125158 130592 159292 182048 228536 250316 278761 301517 318584 438053 457072 500632 557522 603034 637168 876106 914144 1001264 1115044 1206068 1274336 1752212 2002528 2110619 2230088 2412136 3066371 3316687 3504424 4221238 4460176 4824272 6132742 6633374 7008848 8442476 8920352 9648544 12265484 13266748 14017696 14774333 16884952 23216809 24530968 26533496 29548666 33769904 46433618 49061936 53066992 59097332 67539808 92867236 98123872 106133984 118194664 162517663 185734472 236389328 325035326 371468944 472778656 650070652 742937888 1300141304 2600282608 5200565216