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21129381216 = 253273365907
BaseRepresentation
bin10011101011011010…
…001100010101100000
32000112112122210000200
4103223122030111200
5321233110144331
613412351545200
71345414530336
oct235332142540
960475583020
1021129381216
118a62a91929
12411822b200
131cb9674a48
1410462b1b56
15839ea75e6
hex4eb68c560

21129381216 has 36 divisors (see below), whose sum is σ = 60086678652. Its totient is φ = 7043126976.

The previous prime is 21129381191. The next prime is 21129381257. The reversal of 21129381216 is 61218392112.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36682666 + ... + 36683241.

It is an arithmetic number, because the mean of its divisors is an integer number (1669074407).

Almost surely, 221129381216 is an apocalyptic number.

It is an amenable number.

21129381216 is an abundant number, since it is smaller than the sum of its proper divisors (38957297436).

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

21129381216 is a wasteful number, since it uses less digits than its factorization.

21129381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73365923 (or 73365912 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 21129381216 in words is "twenty-one billion, one hundred twenty-nine million, three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 73365907 146731814 220097721 293463628 440195442 586927256 660293163 880390884 1173854512 1320586326 1760781768 2347709024 2641172652 3521563536 5282345304 7043127072 10564690608 21129381216