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21096944064 = 2632713937643
BaseRepresentation
bin10011101001011110…
…011101000111000000
32000110021121210121200
4103221132131013000
5321201304202224
613405232421200
71344542031360
oct235136350700
960407553550
1021096944064
118a46747369
1241093a7800
131cb2a28671
141041c6a9a0
158371eb5c9
hex4e979d1c0

21096944064 has 168 divisors, whose sum is σ = 69608273280. Its totient is φ = 5984174592.

The previous prime is 21096944027. The next prime is 21096944111. The reversal of 21096944064 is 46044969012.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541627 + ... + 579269.

It is an arithmetic number, because the mean of its divisors is an integer number (414334960).

Almost surely, 221096944064 is an apocalyptic number.

21096944064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21096944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34804136640).

21096944064 is an abundant number, since it is smaller than the sum of its proper divisors (48511329216).

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

21096944064 is a wasteful number, since it uses less digits than its factorization.

21096944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37807 (or 37794 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21096944064 in words is "twenty-one billion, ninety-six million, nine hundred forty-four thousand, sixty-four".