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21312290444328 = 2332131743110928087
BaseRepresentation
bin1001101100010001001111…
…00000000101010000101000
32210110102202011110012221200
410312020213200011100220
510243140032323204303
6113154421524404200
74326522265530432
oct466104740052050
983412664405850
1021312290444328
116877545388a34
12248256ab46660
13bb7981776230
1453973dc2b652
1526e5acc9e3a3
hex136227805428

21312290444328 has 384 divisors, whose sum is σ = 67411132588800. Its totient is φ = 6022702522368.

The previous prime is 21312290444303. The next prime is 21312290444449. The reversal of 21312290444328 is 82344409221312.

21312290444328 is a `hidden beast` number, since 2 + 1 + 3 + 122 + 90 + 4 + 4 + 432 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 758781501 + ... + 758809587.

It is an arithmetic number, because the mean of its divisors is an integer number (175549824450).

Almost surely, 221312290444328 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 21312290444328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33705566294400).

21312290444328 is an abundant number, since it is smaller than the sum of its proper divisors (46098842144472).

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

21312290444328 is a wasteful number, since it uses less digits than its factorization.

21312290444328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29281 (or 29274 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 21312290444328 in words is "twenty-one trillion, three hundred twelve billion, two hundred ninety million, four hundred forty-four thousand, three hundred twenty-eight".