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21316420666300 = 2252795874596731
BaseRepresentation
bin1001101100011000111011…
…01011101000001110111100
32210110211102000012020100211
410312030131223220032330
510243222012142310200
6113200343425402204
74330026530041054
oct466143553501674
983424360166324
1021316420666300
116879274825921
122483322199364
13bb818c360466
14539a1259c564
1526e750698aba
hex13631dae83bc

21316420666300 has 72 divisors (see below), whose sum is σ = 46921969301760. Its totient is φ = 8404293393600.

The previous prime is 21316420666243. The next prime is 21316420666301. The reversal of 21316420666300 is 366602461312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21316420666301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2338935 + ... + 6935665.

It is an arithmetic number, because the mean of its divisors is an integer number (651694018080).

Almost surely, 221316420666300 is an apocalyptic number.

21316420666300 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 21316420666300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23460984650880).

21316420666300 is an abundant number, since it is smaller than the sum of its proper divisors (25605548635460).

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

21316420666300 is a wasteful number, since it uses less digits than its factorization.

21316420666300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597411 (or 4597404 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 21316420666300 in words is "twenty-one trillion, three hundred sixteen billion, four hundred twenty million, six hundred sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 587 790 1174 1580 1975 2348 2935 3950 5870 7900 11740 14675 29350 46373 58700 92746 185492 231865 463730 927460 1159325 2318650 4596731 4637300 9193462 18386924 22983655 45967310 91934620 114918275 229836550 363141749 459673100 726283498 1452566996 1815708745 2698281097 3631417490 5396562194 7262834980 9078543725 10793124388 13491405485 18157087450 26982810970 36314174900 53965621940 67457027425 134914054850 213164206663 269828109700 426328413326 852656826652 1065821033315 2131642066630 4263284133260 5329105166575 10658210333150 21316420666300