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21999600000 = 273455797
BaseRepresentation
bin10100011111010001…
…110100000110000000
32002210012010110210000
4110133101310012000
5330023344200000
614034555440000
71406112341340
oct243721640600
962705113700
1021999600000
11936a223104
12431b756000
1320c7a41bc1
1410c9ab8d20
1588b5a0000
hex51f474180

21999600000 has 960 divisors, whose sum is σ = 94487389920. Its totient is φ = 4976640000.

The previous prime is 21999599983. The next prime is 21999600001. The reversal of 21999600000 is 699912.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21999600001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226799952 + ... + 226800048.

Almost surely, 221999600000 is an apocalyptic number.

21999600000 is a gapful number since it is divisible by the number (20) 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 21999600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243694960).

21999600000 is an abundant number, since it is smaller than the sum of its proper divisors (72487789920).

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

21999600000 is an frugal number, since it uses more digits than its factorization.

21999600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 21999600000 in words is "twenty-one billion, nine hundred ninety-nine million, six hundred thousand".