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14126748736 = 268321792
BaseRepresentation
bin11010010100000010…
…10001010001000000
31100110111222012011011
431022001101101000
5212412421424421
610253441130304
71010034245242
oct151201212100
940414865134
1014126748736
115a9a1aa461
1228a3029994
131441959829
1498026c092
1557a31d4e1
hex34a051440

14126748736 has 63 divisors (see below), whose sum is σ = 28533983191. Its totient is φ = 6939288704.

The previous prime is 14126748697. The next prime is 14126748749. The reversal of 14126748736 is 63784762141.

The square root of 14126748736 is 118856.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14126748736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78920295 + ... + 78920473.

Almost surely, 214126748736 is an apocalyptic number.

14126748736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14126748736 is the 118856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14126748736

14126748736 is an abundant number, since it is smaller than the sum of its proper divisors (14407234455).

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

14126748736 is an frugal number, since it uses more digits than its factorization.

14126748736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 264 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

Multiplying 14126748736 by its sum of digits (49), we get a square (692210688064 = 8319922).

The spelling of 14126748736 in words is "fourteen billion, one hundred twenty-six million, seven hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 83 166 179 332 358 664 716 1328 1432 2656 2864 5312 5728 6889 11456 13778 14857 27556 29714 32041 55112 59428 64082 110224 118856 128164 220448 237712 256328 440896 475424 512656 950848 1025312 1233131 2050624 2466262 2659403 4932524 5318806 9865048 10637612 19730096 21275224 39460192 42550448 78920384 85100896 170201792 220730449 441460898 882921796 1765843592 3531687184 7063374368 14126748736