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20685703113216 = 293210177441101
BaseRepresentation
bin1001011010000010000111…
…11111000110101000000000
32201020112102012211210201100
410231001003333012220000
510202403304444110331
6111554514131334400
74233331002224511
oct455010377065000
981215365753640
1020685703113216
116655837150019
1223a1040151400
13b7086579404b
1451729c886a08
1525d138c13ae6
hex12d043fc6a00

20685703113216 has 120 divisors (see below), whose sum is σ = 59706341338644. Its totient is φ = 6894541209600.

The previous prime is 20685703113203. The next prime is 20685703113239. The reversal of 20685703113216 is 61231130758602.

It is a happy number.

20685703113216 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 5 + 7 + 0 + 311 + 321 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20638485561600 + 47217551616 = 4542960^2 + 217296^2 .

It is a super-2 number, since 2×206857031132162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46675066 + ... + 47116166.

Almost surely, 220685703113216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20685703113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29853170669322).

20685703113216 is an abundant number, since it is smaller than the sum of its proper divisors (39020638225428).

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

20685703113216 is a wasteful number, since it uses less digits than its factorization.

20685703113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451302 (or 451283 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20685703113216 in words is "twenty trillion, six hundred eighty-five billion, seven hundred three million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 10177 20354 30531 40708 61062 81416 91593 122124 162832 183186 244248 325664 366372 441101 488496 651328 732744 882202 976992 1302656 1323303 1465488 1764404 1953984 2605312 2646606 2930976 3528808 3907968 3969909 5210624 5293212 5861952 7057616 7815936 7939818 10586424 11723904 14115232 15631872 15879636 21172848 23447808 28230464 31759272 42345696 46895616 56460928 63518544 84691392 112921856 127037088 169382784 225843712 254074176 338765568 508148352 677531136 1016296704 2032593408 4489084877 8978169754 13467254631 17956339508 26934509262 35912679016 40401763893 53869018524 71825358032 80803527786 107738037048 143650716064 161607055572 215476074096 287301432128 323214111144 430952148192 574602864256 646428222288 861904296384 1149205728512 1292856444576 1723808592768 2298411457024 2585712889152 3447617185536 5171425778304 6895234371072 10342851556608 20685703113216