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18306166050 = 2345213732993
BaseRepresentation
bin10001000011001000…
…011110110100100010
31202020210021120220000
4101003020132310202
5244442334303200
612224300400430
71215433562334
oct210310366442
952223246800
1018306166050
117844398557
12366a846116
1319597a9b23
14c59367454
157221d4300
hex44321ed22

18306166050 has 120 divisors (see below), whose sum is σ = 51236844516. Its totient is φ = 4845864960.

The previous prime is 18306166031. The next prime is 18306166079. The reversal of 18306166050 is 5066160381.

It is a happy number.

18306166050 is a `hidden beast` number, since 1 + 8 + 30 + 6 + 16 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2985420321 + 15320745729 = 54639^2 + 123777^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18306165996 and 18306166014.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 538354 + ... + 571346.

Almost surely, 218306166050 is an apocalyptic number.

18306166050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18306166050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618422258).

18306166050 is an abundant number, since it is smaller than the sum of its proper divisors (32930678466).

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

18306166050 is a wasteful number, since it uses less digits than its factorization.

18306166050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33154 (or 33140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 18306166050 in words is "eighteen billion, three hundred six million, one hundred sixty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 137 150 162 225 270 274 405 411 450 675 685 810 822 1233 1350 1370 2025 2055 2466 3425 3699 4050 4110 6165 6850 7398 10275 11097 12330 18495 20550 22194 30825 32993 36990 55485 61650 65986 92475 98979 110970 164965 184950 197958 277425 296937 329930 494895 554850 593874 824825 890811 989790 1484685 1649650 1781622 2474475 2672433 2969370 4454055 4520041 4948950 5344866 7423425 8908110 9040082 13362165 13560123 14846850 22270275 22600205 26724330 27120246 40680369 44540550 45200410 66810825 67800615 81360738 113001025 122041107 133621650 135601230 203401845 226002050 244082214 339003075 366123321 406803690 610205535 678006150 732246642 1017009225 1220411070 1830616605 2034018450 3051027675 3661233210 6102055350 9153083025 18306166050