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21243634064 = 2437181198257
BaseRepresentation
bin10011110010001110…
…000010000110010000
32000211111122102110122
4103302032002012100
5322001332242224
613431552445412
71351302624122
oct236216020620
960744572418
1021243634064
119011528774
12414a549868
132007238a93
141057533212
1584502515e
hex4f2382190

21243634064 has 40 divisors (see below), whose sum is σ = 42505722168. Its totient is φ = 10277591040.

The previous prime is 21243634063. The next prime is 21243634079. The reversal of 21243634064 is 46043634212.

It can be written as a sum of positive squares in 4 ways, for example, as 1473024400 + 19770609664 = 38380^2 + 140608^2 .

It is not an unprimeable number, because it can be changed into a prime (21243634063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8024 + ... + 206280.

Almost surely, 221243634064 is an apocalyptic number.

It is an amenable number.

21243634064 is an abundant number, since it is smaller than the sum of its proper divisors (21262088104).

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

21243634064 is a wasteful number, since it uses less digits than its factorization.

21243634064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198483 (or 198477 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 21243634064 in words is "twenty-one billion, two hundred forty-three million, six hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 37 74 148 181 296 362 592 724 1448 2896 6697 13394 26788 53576 107152 198257 396514 793028 1586056 3172112 7335509 14671018 29342036 35884517 58684072 71769034 117368144 143538068 287076136 574152272 1327727129 2655454258 5310908516 10621817032 21243634064