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253206612150 = 23523725772137
BaseRepresentation
bin1110101111010001001…
…0100100100010110110
3220012120101220122001020
43223310102210202312
513122031343042100
6312153240242010
724202460456142
oct3536422444266
9805511818036
10253206612150
1198425593438
12410a6470306
131ab5350422b
14c38063c222
1568be5c15a0
hex3af44a48b6

253206612150 has 144 divisors (see below), whose sum is σ = 646803820656. Its totient is φ = 65552302080.

The previous prime is 253206612089. The next prime is 253206612173. The reversal of 253206612150 is 51216602352.

253206612150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2532066121502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 118485882 + ... + 118488018.

It is an arithmetic number, because the mean of its divisors is an integer number (4491693199).

Almost surely, 2253206612150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253206612150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323401910328).

253206612150 is an abundant number, since it is smaller than the sum of its proper divisors (393597208506).

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

253206612150 is a wasteful number, since it uses less digits than its factorization.

253206612150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 253206612150 in words is "two hundred fifty-three billion, two hundred six million, six hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 577 925 1110 1154 1369 1731 1850 2137 2738 2775 2885 3462 4107 4274 5550 5770 6411 6845 8214 8655 10685 12822 13690 14425 17310 20535 21349 21370 28850 32055 34225 41070 42698 43275 53425 64047 64110 68450 79069 86550 102675 106745 106850 128094 158138 160275 205350 213490 237207 320235 320550 395345 474414 533725 640470 789913 790690 1067450 1186035 1233049 1579826 1601175 1976725 2369739 2372070 2466098 2925553 3202350 3699147 3949565 3953450 4739478 5851106 5930175 6165245 7398294 7899130 8776659 11848695 11860350 12330490 14627765 17553318 18495735 19747825 23697390 29255530 30826225 36991470 39495650 43883295 45622813 59243475 61652450 73138825 87766590 91245626 92478675 118486950 136868439 146277650 184957350 219416475 228114065 273736878 438832950 456228130 684342195 1140570325 1368684390 1688044081 2281140650 3376088162 3421710975 5064132243 6843421950 8440220405 10128264486 16880440810 25320661215 42201102025 50641322430 84402204050 126603306075 253206612150