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5209263903852 = 22322931401401393
BaseRepresentation
bin100101111001110000001…
…0100110001010001101100
3200110000000120001212221200
41023303200110301101230
51140322033024410402
615025034112125500
71045233262411161
oct113634024612154
920400016055850
105209263903852
111729266739848
1270170bb36890
132ba301733848
141401b5d38068
159078910121c
hex4bce053146c

5209263903852 has 144 divisors (see below), whose sum is σ = 14096443495680. Its totient is φ = 1618412544000.

The previous prime is 5209263903839. The next prime is 5209263903889. The reversal of 5209263903852 is 2583093629025.

5209263903852 is a `hidden beast` number, since 5 + 209 + 26 + 39 + 0 + 385 + 2 = 666.

It is a super-3 number, since 3×52092639038523 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12777268 + ... + 13178660.

It is an arithmetic number, because the mean of its divisors is an integer number (97891968720).

Almost surely, 25209263903852 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 5209263903852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048221747840).

5209263903852 is an abundant number, since it is smaller than the sum of its proper divisors (8887179591828).

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

5209263903852 is a wasteful number, since it uses less digits than its factorization.

5209263903852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401864 (or 401859 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5209263903852 in words is "five trillion, two hundred nine billion, two hundred sixty-three million, nine hundred three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 401 522 558 802 899 1044 1116 1203 1604 1798 2406 2697 3596 3609 4812 5394 7218 8091 10788 11629 12431 14436 16182 23258 24862 32364 34887 37293 46516 49724 69774 74586 104661 111879 139548 149172 209322 223758 360499 401393 418644 447516 720998 802786 1081497 1204179 1441996 1605572 2162994 2408358 3244491 3612537 4325988 4816716 6488982 7225074 11640397 12443183 12977964 14450148 23280794 24886366 34921191 37329549 46561588 49772732 69842382 74659098 104763573 111988647 139684764 149318196 160958593 209527146 223977294 321917186 360852307 419054292 447954588 482875779 643834372 721704614 965751558 1082556921 1443409228 1448627337 1931503116 2165113842 2897254674 3247670763 4330227684 4667799197 4989716383 5794509348 6495341526 9335598394 9979432766 12990683052 14003397591 14969149149 18671196788 19958865532 28006795182 29938298298 42010192773 44907447447 56013590364 59876596596 84020385546 89814894894 144701775107 168040771092 179629789788 289403550214 434105325321 578807100428 868210650642 1302315975963 1736421301284 2604631951926 5209263903852