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11053458864 = 24327233071553
BaseRepresentation
bin10100100101101011…
…00110010110110000
31001112100000220000100
422102311212112300
5140114141140424
65024453552400
7540625564410
oct122265462660
931470026010
1011053458864
114762431278
122185945700
131072024206
1476c028640
1544a5eddc9
hex292d665b0

11053458864 has 240 divisors, whose sum is σ = 37034629632. Its totient is φ = 3009042432.

The previous prime is 11053458851. The next prime is 11053458877. The reversal of 11053458864 is 46885435011.

11053458864 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 4 + 588 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (11053458851) and next prime (11053458877).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7116712 + ... + 7118264.

Almost surely, 211053458864 is an apocalyptic number.

11053458864 is a gapful number since it is divisible by the number (14) 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 11053458864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517314816).

11053458864 is an abundant number, since it is smaller than the sum of its proper divisors (25981170768).

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

11053458864 is a wasteful number, since it uses less digits than its factorization.

11053458864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11053458864 in words is "eleven billion, fifty-three million, four hundred fifty-eight thousand, eight hundred sixty-four".