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211166200000050 = 23522973336619931
BaseRepresentation
bin110000000000110111110110…
…010101101110111000110010
31000200200021212112220112001020
4300000313312111232320302
5210134221334200000200
62025040225115520310
762323153201300221
oct6000676625567062
91020607775815036
10211166200000050
116131409a8991a9
121b825511159096
1390a9b6c2a2919
143a206da2a0cb8
151962db6677ea0
hexc00df656ee32

211166200000050 has 96 divisors (see below), whose sum is σ = 541824487174080. Its totient is φ = 54361805971200.

The previous prime is 211166200000031. The next prime is 211166200000069. The reversal of 211166200000050 is 50000002661112.

211166200000050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211166200000031) and next prime (211166200000069).

It is a super-2 number, since 2×2111662000000502 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28588585 + ... + 35208515.

It is an arithmetic number, because the mean of its divisors is an integer number (5644005074730).

Almost surely, 2211166200000050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211166200000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270912243587040).

211166200000050 is an abundant number, since it is smaller than the sum of its proper divisors (330658287174030).

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

211166200000050 is a wasteful number, since it uses less digits than its factorization.

211166200000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627308 (or 6627303 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 211166200000050 its reverse (50000002661112), we get a palindrome (261166202661162).

The spelling of 211166200000050 in words is "two hundred eleven trillion, one hundred sixty-six billion, two hundred million, fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 2175 4350 7333 14666 21999 36665 43998 73330 109995 183325 212657 219990 366650 425314 549975 637971 1063285 1099950 1275942 2126570 3189855 5316425 6379710 6619931 10632850 13239862 15949275 19859793 31898550 33099655 39719586 66199310 99298965 165498275 191977999 198597930 330996550 383955998 496494825 575933997 959889995 992989650 1151867994 1919779990 2879669985 4799449975 5759339970 9598899950 14398349925 28796699850 48543954023 97087908046 145631862069 242719770115 291263724138 485439540230 728159310345 1213598850575 1407774666667 1456318620690 2427197701150 2815549333334 3640796551725 4223324000001 7038873333335 7281593103450 8446648000002 14077746666670 21116620000005 35194366666675 42233240000010 70388733333350 105583100000025 211166200000050