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11053469952 = 28347271281
BaseRepresentation
bin10100100101101011…
…01001000100000000
31001112100001110020000
422102311221010000
5140114142014302
65024454120000
7540625641630
oct122265510400
931470043200
1011053469952
114762439638
122185950000
131072029285
1476c02c6c0
1544a60231c
hex292d69100

11053469952 has 360 divisors, whose sum is σ = 37941480192. Its totient is φ = 3135283200.

The previous prime is 11053469951. The next prime is 11053469969. The reversal of 11053469952 is 25996435011.

11053469952 is a `hidden beast` number, since 1 + 1 + 0 + 534 + 69 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11053469898 and 11053469907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053469951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39336052 + ... + 39336332.

Almost surely, 211053469952 is an apocalyptic number.

11053469952 is a gapful number since it is divisible by the number (12) 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 11053469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970740096).

11053469952 is an abundant number, since it is smaller than the sum of its proper divisors (26888010240).

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

11053469952 is an equidigital number, since it uses as much as digits as its factorization.

11053469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 11053469952 in words is "eleven billion, fifty-three million, four hundred sixty-nine thousand, nine hundred fifty-two".