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22989945484128 = 25372329179286543
BaseRepresentation
bin1010011101000110000111…
…00010001011001101100000
310000101211001211101110021010
411032203003202023031200
511003131402020443003
6120521233554300520
74561653165220440
oct516430342131540
9100354054343233
1022989945484128
117363a87974167
1226b3732287740
13ca9c33a4975c
14596a0da80120
1529d04ba4e003
hex14e8c388b360

22989945484128 has 384 divisors, whose sum is σ = 74866382438400. Its totient is φ = 6032401385472.

The previous prime is 22989945484049. The next prime is 22989945484141. The reversal of 22989945484128 is 82148454998922.

It is a self number, because there is not a number n which added to its sum of digits gives 22989945484128.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 80088825 + ... + 80375367.

It is an arithmetic number, because the mean of its divisors is an integer number (194964537600).

Almost surely, 222989945484128 is an apocalyptic number.

22989945484128 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 22989945484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37433191219200).

22989945484128 is an abundant number, since it is smaller than the sum of its proper divisors (51876436954272).

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

22989945484128 is a wasteful number, since it uses less digits than its factorization.

22989945484128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286794 (or 286786 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 75.

The spelling of 22989945484128 in words is "twenty-two trillion, nine hundred eighty-nine billion, nine hundred forty-five million, four hundred eighty-four thousand, one hundred twenty-eight".