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21224706048 = 212347131937
BaseRepresentation
bin10011110001000101…
…110101000000000000
32000210012000210010000
4103301011311000000
5321432011043143
613430035040000
71350653011320
oct236105650000
960705023100
1021224706048
11900187a887
124144140000
13200333c580
141054c07280
15843536bd3
hex4f1175000

21224706048 has 1040 divisors, whose sum is σ = 84363368320. Its totient is φ = 5159780352.

The previous prime is 21224706043. The next prime is 21224706071. The reversal of 21224706048 is 84060742212.

21224706048 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 47 + 0 + 604 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21224706043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573640686 + ... + 573640722.

Almost surely, 221224706048 is an apocalyptic number.

21224706048 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 21224706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42181684160).

21224706048 is an abundant number, since it is smaller than the sum of its proper divisors (63138662272).

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

21224706048 is a wasteful number, since it uses less digits than its factorization.

21224706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21224706048 in words is "twenty-one billion, two hundred twenty-four million, seven hundred six thousand, forty-eight".