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13024743876 = 22322328272
BaseRepresentation
bin11000010000101010…
…11101000111000100
31020121201100112200100
430020111131013010
5203133313301001
65552233244100
7640523332134
oct141025350704
936551315610
1013024743876
115584145941
122635b63630
1312c7556451
148b7b6aac4
155136dd586
hex30855d1c4

13024743876 has 81 divisors (see below), whose sum is σ = 34459026511. Its totient is φ = 4147795344.

The previous prime is 13024743857. The next prime is 13024743881. The reversal of 13024743876 is 67834742031.

The square root of 13024743876 is 114126.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15748975 + ... + 15749801.

Almost surely, 213024743876 is an apocalyptic number.

13024743876 is the 114126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024743876

13024743876 is an abundant number, since it is smaller than the sum of its proper divisors (21434282635).

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

13024743876 is an equidigital number, since it uses as much as digits as its factorization.

13024743876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 13024 and 743876, that added together give a square (756900 = 8702).

The spelling of 13024743876 in words is "thirteen billion, twenty-four million, seven hundred forty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 827 828 1058 1587 1654 2116 2481 3174 3308 4761 4962 6348 7443 9522 9924 14886 19021 19044 29772 38042 57063 76084 114126 171189 228252 342378 437483 683929 684756 874966 1312449 1367858 1749932 2051787 2624898 2735716 3937347 4103574 5249796 6155361 7874694 8207148 12310722 15730367 15749388 24621444 31460734 47191101 62921468 94382202 141573303 188764404 283146606 361798441 566293212 723596882 1085395323 1447193764 2170790646 3256185969 4341581292 6512371938 13024743876