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14492719824 = 24311214916747
BaseRepresentation
bin11010111111101010…
…10101101011010000
31101102000121110002220
431133311111223100
5214140114013244
610354033141040
71022100041322
oct153765255320
941360543086
1014492719824
116167842a00
1229856ba780
13149c71537b
149b6ad5612
1559c50e319
hex35fd55ad0

14492719824 has 120 divisors (see below), whose sum is σ = 41431202400. Its totient is φ = 4361998080.

The previous prime is 14492719823. The next prime is 14492719849. The reversal of 14492719824 is 42891729441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14492719823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857019 + ... + 873765.

It is an arithmetic number, because the mean of its divisors is an integer number (345260020).

Almost surely, 214492719824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14492719824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20715601200).

14492719824 is an abundant number, since it is smaller than the sum of its proper divisors (26938482576).

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

14492719824 is a wasteful number, since it uses less digits than its factorization.

14492719824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929 (or 16912 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 14492719824 in words is "fourteen billion, four hundred ninety-two million, seven hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 149 176 242 264 298 363 447 484 528 596 726 894 968 1192 1452 1639 1788 1936 2384 2904 3278 3576 4917 5808 6556 7152 9834 13112 16747 18029 19668 26224 33494 36058 39336 50241 54087 66988 72116 78672 100482 108174 133976 144232 184217 200964 216348 267952 288464 368434 401928 432696 552651 736868 803856 865392 1105302 1473736 2026387 2210604 2495303 2947472 4052774 4421208 4990606 6079161 7485909 8105548 8842416 9981212 12158322 14971818 16211096 19962424 24316644 27448333 29943636 32422192 39924848 48633288 54896666 59887272 82344999 97266576 109793332 119774544 164689998 219586664 301931663 329379996 439173328 603863326 658759992 905794989 1207726652 1317519984 1811589978 2415453304 3623179956 4830906608 7246359912 14492719824