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21506088288 = 253224021753
BaseRepresentation
bin10100000001110111…
…001101110101100000
32001111210111110222110
4110001313031311200
5323021024311123
613514010035320
71360640506566
oct240167156540
961453443873
1021506088288
119136698493
124202418b40
13204971c139
141080331a36
1585d0b9493
hex501dcdd60

21506088288 has 24 divisors (see below), whose sum is σ = 56453482008. Its totient is φ = 7168696064.

The previous prime is 21506088283. The next prime is 21506088293. The reversal of 21506088288 is 88288060512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21506088283) and next prime (21506088293).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21506088283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112010781 + ... + 112010972.

It is an arithmetic number, because the mean of its divisors is an integer number (2352228417).

Almost surely, 221506088288 is an apocalyptic number.

It is an amenable number.

21506088288 is an abundant number, since it is smaller than the sum of its proper divisors (34947393720).

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

21506088288 is a wasteful number, since it uses less digits than its factorization.

21506088288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224021766 (or 224021758 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 21506088288 in words is "twenty-one billion, five hundred six million, eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 224021753 448043506 672065259 896087012 1344130518 1792174024 2688261036 3584348048 5376522072 7168696096 10753044144 21506088288