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11241700470 = 232571113124783
BaseRepresentation
bin10100111100000111…
…01011110001110110
31002000110020112221200
422132003223301312
5141010333403340
65055300353330
7545402606640
oct123603536166
932013215850
1011241700470
114849712a50
1222189a5846
1310a2022490
14789029890
1545bdd4330
hex29e0ebc76

11241700470 has 192 divisors, whose sum is σ = 39244068864. Its totient is φ = 2156232960.

The previous prime is 11241700453. The next prime is 11241700471. The reversal of 11241700470 is 7400714211.

11241700470 is a `hidden beast` number, since 1 + 1 + 24 + 170 + 0 + 470 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241700471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27699 + ... + 152481.

It is an arithmetic number, because the mean of its divisors is an integer number (204396192).

Almost surely, 211241700470 is an apocalyptic number.

11241700470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241700470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622034432).

11241700470 is an abundant number, since it is smaller than the sum of its proper divisors (28002368394).

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

11241700470 is a wasteful number, since it uses less digits than its factorization.

11241700470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124827 (or 124824 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 11241700470 in words is "eleven billion, two hundred forty-one million, seven hundred thousand, four hundred seventy".