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20979841344 = 2637111923931
BaseRepresentation
bin10011100010011111…
…101111100101000000
32000011010021100212220
4103202133233211000
5320431314410334
613345450451040
71341620465130
oct234237574500
960133240786
1020979841344
118996634360
124096133a80
131c946a7407
1410304a6ac0
1582bcb9449
hex4e27ef940

20979841344 has 336 divisors, whose sum is σ = 73058950656. Its totient is φ = 5161190400.

The previous prime is 20979841283. The next prime is 20979841349. The reversal of 20979841344 is 44314897902.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20979841349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5335059 + ... + 5338989.

Almost surely, 220979841344 is an apocalyptic number.

20979841344 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 20979841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36529475328).

20979841344 is an abundant number, since it is smaller than the sum of its proper divisors (52079109312).

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

20979841344 is a wasteful number, since it uses less digits than its factorization.

20979841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 20979841344 in words is "twenty billion, nine hundred seventy-nine million, eight hundred forty-one thousand, three hundred forty-four".