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2114666663500 = 225343682714407
BaseRepresentation
bin11110110001011011111…
…101001000111001001100
321111011022202101220012001
4132301123331020321030
5234121314131213000
64255244153322044
7305531261030326
oct36613375107114
97434282356161
102114666663500
11745909225296
122a1a05706324
1312454881c511
14744c9764616
153a019b3546a
hex1ec5bf48e4c

2114666663500 has 96 divisors (see below), whose sum is σ = 4726857687552. Its totient is φ = 826016990400.

The previous prime is 2114666663489. The next prime is 2114666663503. The reversal of 2114666663500 is 53666664112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2114666663503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146773297 + ... + 146787703.

It is an arithmetic number, because the mean of its divisors is an integer number (49238100912).

Almost surely, 22114666663500 is an apocalyptic number.

2114666663500 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 2114666663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363428843776).

2114666663500 is an abundant number, since it is smaller than the sum of its proper divisors (2612191024052).

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

2114666663500 is a wasteful number, since it uses less digits than its factorization.

2114666663500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21296 (or 21284 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 2114666663500 in words is "two trillion, one hundred fourteen billion, six hundred sixty-six million, six hundred sixty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 2150 4300 5375 6827 10750 13654 14407 21500 27308 28814 34135 57628 68270 72035 136540 144070 170675 288140 293561 341350 360175 587122 619501 682700 720350 853375 1174244 1239002 1440700 1467805 1706750 1800875 2478004 2935610 3097505 3413500 3601750 5871220 6195010 7203500 7339025 12390020 14678050 15487525 29356100 30975050 36695125 61950100 73390250 77437625 98356589 146780500 154875250 196713178 309750500 393426356 491782945 983565890 1967131780 2458914725 4229333327 4917829450 8458666654 9835658900 12294573625 16917333308 21146666635 24589147250 42293333270 49178294500 84586666540 105733333175 211466666350 422933332700 528666665875 1057333331750 2114666663500