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21977942448 = 24371121731799
BaseRepresentation
bin10100011101111111…
…001100100110110000
32002201200101011012110
4110131333030212300
5330002323124243
614032503325320
71405430266650
oct243577144660
962650334173
1021977942448
119358a80500
124314450840
1320c33cb197
1410c6c7c360
15889722e33
hex51dfcc9b0

21977942448 has 240 divisors, whose sum is σ = 75520166400. Its totient is φ = 5372590080.

The previous prime is 21977942401. The next prime is 21977942461. The reversal of 21977942448 is 84424977912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675253 + ... + 707051.

It is an arithmetic number, because the mean of its divisors is an integer number (314667360).

Almost surely, 221977942448 is an apocalyptic number.

21977942448 is a gapful number since it is divisible by the number (28) 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 21977942448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37760083200).

21977942448 is an abundant number, since it is smaller than the sum of its proper divisors (53542223952).

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

21977942448 is a wasteful number, since it uses less digits than its factorization.

21977942448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856 (or 31839 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The spelling of 21977942448 in words is "twenty-one billion, nine hundred seventy-seven million, nine hundred forty-two thousand, four hundred forty-eight".