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11379700470 = 2354135925771
BaseRepresentation
bin10101001100100100…
…00111001011110110
31002101001220200100210
422212102013023312
5141301200403340
65121110250250
7551666600205
oct124622071366
932331820323
1011379700470
11490a5a9436
122257056986
1310c47ac398
1479d4ad23c
15469093180
hex2a64872f6

11379700470 has 64 divisors (see below), whose sum is σ = 28056430080. Its totient is φ = 2952211200.

The previous prime is 11379700417. The next prime is 11379700517. The reversal of 11379700470 is 7400797311.

11379700470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428685 + ... + 454455.

It is an arithmetic number, because the mean of its divisors is an integer number (438381720).

Almost surely, 211379700470 is an apocalyptic number.

11379700470 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 11379700470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028215040).

11379700470 is an abundant number, since it is smaller than the sum of its proper divisors (16676729610).

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

11379700470 is a wasteful number, since it uses less digits than its factorization.

11379700470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26181.

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 11379700470 in words is "eleven billion, three hundred seventy-nine million, seven hundred thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 359 410 615 718 1077 1230 1795 2154 3590 5385 10770 14719 25771 29438 44157 51542 73595 77313 88314 128855 147190 154626 220785 257710 386565 441570 773130 1056611 2113222 3169833 5283055 6339666 9251789 10566110 15849165 18503578 27755367 31698330 46258945 55510734 92517890 138776835 277553670 379323349 758646698 1137970047 1896616745 2275940094 3793233490 5689850235 11379700470