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11245449024 = 263979113
BaseRepresentation
bin10100111100100011…
…11110111101000000
31002000201022000000000
422132101332331000
5141012313332044
65055513000000
7545446511445
oct123621767500
932021260000
1011245449024
114850843327
12221a0b3000
1310a2a35764
147897239cc
1545c3c4d69
hex29e47ef40

11245449024 has 280 divisors, whose sum is σ = 34195877760. Its totient is φ = 3668281344.

The previous prime is 11245448969. The next prime is 11245449049. The reversal of 11245449024 is 42094454211.

11245449024 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 544 + 90 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11245449024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99517192 + ... + 99517304.

Almost surely, 211245449024 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 11245449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097938880).

11245449024 is an abundant number, since it is smaller than the sum of its proper divisors (22950428736).

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

11245449024 is an frugal number, since it uses more digits than its factorization.

11245449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11245449024 in words is "eleven billion, two hundred forty-five million, four hundred forty-nine thousand, twenty-four".