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21448772352 = 28337383109
BaseRepresentation
bin10011111110011100…
…100100101100000000
32001100210122112022000
4103332130210230000
5322411341203402
613504201344000
71356343362000
oct237634445400
961323575260
1021448772352
119107300147
1241a7198000
13203a8a1a97
141076892000
15858046c1c
hex4fe724b00

21448772352 has 576 divisors, whose sum is σ = 75546240000. Its totient is φ = 5998841856.

The previous prime is 21448772321. The next prime is 21448772353. The reversal of 21448772352 is 25327784412.

21448772352 is a `hidden beast` number, since 214 + 4 + 87 + 7 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×214487723522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21448772298 and 21448772307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21448772353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196777674 + ... + 196777782.

Almost surely, 221448772352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21448772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37773120000).

21448772352 is an abundant number, since it is smaller than the sum of its proper divisors (54097467648).

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

21448772352 is an equidigital number, since it uses as much as digits as its factorization.

21448772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 21448772352 in words is "twenty-one billion, four hundred forty-eight million, seven hundred seventy-two thousand, three hundred fifty-two".