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21361948370 = 2572421103553
BaseRepresentation
bin10011111001010001…
…010111011011010010
32001010202021102011222
4103321101113123102
5322222124321440
613451420405042
71354240364600
oct237121273322
961122242158
1021361948370
119072298a94
1241820a6782
1320258c2649
141069130870
158505e62b5
hex4f94576d2

21361948370 has 48 divisors (see below), whose sum is σ = 44835982488. Its totient is φ = 7306629120.

The previous prime is 21361948367. The next prime is 21361948373. The reversal of 21361948370 is 7384916312.

It is an interprime number because it is at equal distance from previous prime (21361948367) and next prime (21361948373).

It can be written as a sum of positive squares in 4 ways, for example, as 2880361561 + 18481586809 = 53669^2 + 135947^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21361948373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154514 + ... + 258066.

Almost surely, 221361948370 is an apocalyptic number.

21361948370 is an abundant number, since it is smaller than the sum of its proper divisors (23474034118).

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

21361948370 is a wasteful number, since it uses less digits than its factorization.

21361948370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103995 (or 103988 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 21361948370 in words is "twenty-one billion, three hundred sixty-one million, nine hundred forty-eight thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 421 490 842 2105 2947 4210 5894 14735 20629 29470 41258 103145 103553 206290 207106 517765 724871 1035530 1449742 3624355 5074097 7248710 10148194 25370485 43595813 50740970 87191626 217979065 305170691 435958130 610341382 1525853455 2136194837 3051706910 4272389674 10680974185 21361948370