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14730676900 = 22525322292
BaseRepresentation
bin11011011100000010…
…00100101010100100
31102000121100220211221
431232001010222210
5220132023130100
610433413310124
71031016454612
oct155601045244
942017326757
1014730676900
11627a0a0645
122a31335344
131509acc384
149da5586b2
155b336501a
hex36e044aa4

14730676900 has 81 divisors (see below), whose sum is σ = 32722964841. Its totient is φ = 5755850880.

The previous prime is 14730676889. The next prime is 14730676901. The reversal of 14730676900 is 967603741.

The square root of 14730676900 is 121370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 462852196 + 14267824704 = 21514^2 + 119448^2 .

It is a super-2 number, since 2×147306769002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14730676901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64325986 + ... + 64326214.

Almost surely, 214730676900 is an apocalyptic number.

14730676900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14730676900 is the 121370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14730676900

14730676900 is an abundant number, since it is smaller than the sum of its proper divisors (17992287941).

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

14730676900 is an equidigital number, since it uses as much as digits as its factorization.

14730676900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 14730676900 in words is "fourteen billion, seven hundred thirty million, six hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 229 265 458 530 916 1060 1145 1325 2290 2650 2809 4580 5300 5618 5725 11236 11450 12137 14045 22900 24274 28090 48548 52441 56180 60685 70225 104882 121370 140450 209764 242740 262205 280900 303425 524410 606850 643261 1048820 1213700 1286522 1311025 2573044 2622050 2779373 3216305 5244100 5558746 6432610 11117492 12865220 13896865 16081525 27793730 32163050 55587460 64326100 69484325 138968650 147306769 277937300 294613538 589227076 736533845 1473067690 2946135380 3682669225 7365338450 14730676900