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21988342944 = 2537379829
BaseRepresentation
bin10100011110100110…
…110111110010100000
32002202101221120000000
4110132212313302200
5330013003433234
614033514300000
71405614555051
oct243646676240
962671846000
1021988342944
119363934557
124317a27600
1320c5600119
1410c83c8728
1588a5c9899
hex51e9b7ca0

21988342944 has 192 divisors, whose sum is σ = 65174256000. Its totient is φ = 7301290752.

The previous prime is 21988342919. The next prime is 21988342991. The reversal of 21988342944 is 44924388912.

It is a happy number.

21988342944 is a `hidden beast` number, since 219 + 88 + 342 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26523522 + ... + 26524350.

It is an arithmetic number, because the mean of its divisors is an integer number (339449250).

Almost surely, 221988342944 is an apocalyptic number.

21988342944 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 21988342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32587128000).

21988342944 is an abundant number, since it is smaller than the sum of its proper divisors (43185913056).

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

21988342944 is an frugal number, since it uses more digits than its factorization.

21988342944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1213 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 21988342944 in words is "twenty-one billion, nine hundred eighty-eight million, three hundred forty-two thousand, nine hundred forty-four".