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250520212011040 = 25541267714265617
BaseRepresentation
bin111000111101100011001000…
…001111101111100000100000
31012212000111110022110120200021
4320331203020033233200200
5230314010343233323130
62244451221355403224
7103524326252133226
oct7075431017574040
91185014408416607
10250520212011040
11729070306a4994
12241205b4153514
13a9a2c5440886a
1445c1358964b16
151de6913ecb37a
hexe3d8c83ef820

250520212011040 has 96 divisors (see below), whose sum is σ = 606515987763504. Its totient is φ = 97727458344960.

The previous prime is 250520212011001. The next prime is 250520212011053. The reversal of 250520212011040 is 40110212025052.

It can be written as a sum of positive squares in 8 ways, for example, as 5789355707664 + 244730856303376 = 2406108^2 + 15643876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 250520212010996 and 250520212011014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10428312 + ... + 24693928.

Almost surely, 2250520212011040 is an apocalyptic number.

250520212011040 is a gapful number since it is divisible by the number (20) 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 250520212011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303257993881752).

250520212011040 is an abundant number, since it is smaller than the sum of its proper divisors (355995775752464).

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

250520212011040 is a wasteful number, since it uses less digits than its factorization.

250520212011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268350 (or 14268342 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 250520212011040 its reverse (40110212025052), we get a palindrome (290630424036092).

The spelling of 250520212011040 in words is "two hundred fifty trillion, five hundred twenty billion, two hundred twelve million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 2677 3280 5354 6560 10708 13385 21416 26770 42832 53540 85664 107080 109757 214160 219514 428320 439028 548785 878056 1097570 1756112 2195140 3512224 4390280 8780560 14265617 17561120 28531234 57062468 71328085 114124936 142656170 228249872 285312340 456499744 570624680 584890297 1141249360 1169780594 2282498720 2339561188 2924451485 4679122376 5848902970 9358244752 11697805940 18716489504 23395611880 38189056709 46791223760 76378113418 93582447520 152756226836 190945283545 305512453672 381890567090 611024907344 763781134180 1222049814688 1527562268360 1565751325069 3055124536720 3131502650138 6110249073440 6263005300276 7828756625345 12526010600552 15657513250690 25052021201104 31315026501380 50104042402208 62630053002760 125260106005520 250520212011040