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21701694336 = 2737311371901
BaseRepresentation
bin10100001101100001…
…011001001110000000
32002000102120022000220
4110031201121032000
5323421113204321
613545234343040
71365534233610
oct241541311600
962012508026
1021701694336
11922704a183
124257a2aa80
13207b0c846a
14109c2cca40
158703569c6
hex50d859380

21701694336 has 256 divisors, whose sum is σ = 68537733120. Its totient is φ = 5953536000.

The previous prime is 21701694331. The next prime is 21701694337. The reversal of 21701694336 is 63349610712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21701694331) 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 31 ways as a sum of consecutive naturals, for example, 11414986 + ... + 11416886.

It is an arithmetic number, because the mean of its divisors is an integer number (267725520).

Almost surely, 221701694336 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 21701694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34268866560).

21701694336 is an abundant number, since it is smaller than the sum of its proper divisors (46836038784).

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

21701694336 is a wasteful number, since it uses less digits than its factorization.

21701694336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 21701694336 in words is "twenty-one billion, seven hundred one million, six hundred ninety-four thousand, three hundred thirty-six".