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20997273600 = 21134526183
BaseRepresentation
bin10011100011100010…
…001111100000000000
32000012100002000110000
4103203202033200000
5321000300223400
613351312240000
71342221611052
oct234342174000
960170060400
1020997273600
1189a5460486
12409bb40000
131c9819bb64
1410329238d2
1582d5ae600
hex4e388f800

20997273600 has 720 divisors, whose sum is σ = 79996676760. Its totient is φ = 5441126400.

The previous prime is 20997273589. The next prime is 20997273611. The reversal of 20997273600 is 637279902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20997273589) and next prime (20997273611).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 252979159 + ... + 252979241.

Almost surely, 220997273600 is an apocalyptic number.

20997273600 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 20997273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39998338380).

20997273600 is an abundant number, since it is smaller than the sum of its proper divisors (58999403160).

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

20997273600 is an equidigital number, since it uses as much as digits as its factorization.

20997273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 20997273600 in words is "twenty billion, nine hundred ninety-seven million, two hundred seventy-three thousand, six hundred".