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11245217040 = 2434523197383
BaseRepresentation
bin10100111100100010…
…00110010100010000
31002000200212012210000
422132101012110100
5141012233421130
65055504010000
7545444524221
oct123621062420
932020765700
1011245217040
1148506a5002
12221a000900
1310a2983ca5
147896a3248
1545c37b260
hex29e446510

11245217040 has 400 divisors, whose sum is σ = 41068228608. Its totient is φ = 2846333952.

The previous prime is 11245217029. The next prime is 11245217059. The reversal of 11245217040 is 4071254211.

11245217040 is a `hidden beast` number, since 1 + 1 + 2 + 452 + 170 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11245216995 and 11245217013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29360689 + ... + 29361071.

Almost surely, 211245217040 is an apocalyptic number.

11245217040 is a gapful number since it is divisible by the number (10) 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 11245217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534114304).

11245217040 is an abundant number, since it is smaller than the sum of its proper divisors (29823011568).

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

11245217040 is a wasteful number, since it uses less digits than its factorization.

11245217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11245217040 in words is "eleven billion, two hundred forty-five million, two hundred seventeen thousand, forty".