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21006299059380 = 22325398929255869
BaseRepresentation
bin1001100011010111010001…
…11111100101010010110100
32202101011221002200022011100
410301223220333211102310
510223131400024400010
6112402054403210100
74265440446630345
oct461535077452264
982334832608140
1021006299059380
1167697a3205528
1224331b3076930
13b94b685a6c3b
145289d30c00cc
1526664e60a2c0
hex131ae8fe54b4

21006299059380 has 72 divisors (see below), whose sum is σ = 63735083029800. Its totient is φ = 5600275276032.

The previous prime is 21006299059379. The next prime is 21006299059387. The reversal of 21006299059380 is 8395099260012.

It is a happy number.

21006299059380 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 629 + 9 + 0 + 5 + 9 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 879716436624 + 20126582622756 = 937932^2 + 4486266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006299059387) 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, 13909915 + ... + 15345954.

It is an arithmetic number, because the mean of its divisors is an integer number (885209486525).

Almost surely, 221006299059380 is an apocalyptic number.

21006299059380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21006299059380 is an abundant number, since it is smaller than the sum of its proper divisors (42728783970420).

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

21006299059380 is a wasteful number, since it uses less digits than its factorization.

21006299059380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29259873 (or 29259868 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 21006299059380 in words is "twenty-one trillion, six billion, two hundred ninety-nine million, fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3989 7978 11967 15956 19945 23934 35901 39890 47868 59835 71802 79780 119670 143604 179505 239340 359010 718020 29255869 58511738 87767607 117023476 146279345 175535214 263302821 292558690 351070428 438838035 526605642 585117380 877676070 1053211284 1316514105 1755352140 2633028210 5266056420 116701661441 233403322882 350104984323 466806645764 583508307205 700209968646 1050314952969 1167016614410 1400419937292 1750524921615 2100629905938 2334033228820 3501049843230 4201259811876 5251574764845 7002099686460 10503149529690 21006299059380