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11242603008 = 2936713331
BaseRepresentation
bin10100111100001110…
…01000001000000000
31002000111221102000000
422132013020020000
5141011101244013
65055332000000
7545413356150
oct123607101000
932014842000
1011242603008
11484a17a04a
122219160000
1310a227a220
147891c2760
1545c011973
hex29e1c8200

11242603008 has 560 divisors, whose sum is σ = 41576880576. Its totient is φ = 2956124160.

The previous prime is 11242602983. The next prime is 11242603019. The reversal of 11242603008 is 80030624211.

11242603008 is a `hidden beast` number, since 1 + 12 + 42 + 603 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×112426030082 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965403 + ... + 33965733.

Almost surely, 211242603008 is an apocalyptic number.

11242603008 is a gapful number since it is divisible by the number (18) 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 11242603008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788440288).

11242603008 is an abundant number, since it is smaller than the sum of its proper divisors (30334277568).

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

11242603008 is an frugal number, since it uses more digits than its factorization.

11242603008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11242603008 in words is "eleven billion, two hundred forty-two million, six hundred three thousand, eight".