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13848713760996 = 2232372167632
BaseRepresentation
bin1100100110000110011110…
…1010100001000011100100
31211000220221200011201200100
43021201213222201003210
53303344131210322441
645242002233544100
72626352015501262
oct311414752410344
954026850151610
1013848713760996
11445a22a9790a4
121677b82275030
13795c0b07722a
1435c3d1d3d432
1519038444acb6
hexc9867aa10e4

13848713760996 has 81 divisors (see below), whose sum is σ = 35980308976521. Its totient is φ = 4491206793504.

The previous prime is 13848713760979. The next prime is 13848713760997. The reversal of 13848713760996 is 69906731784831.

It is a happy number.

The square root of 13848713760996 is 3721386.

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

13848713760996 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 7 + 1 + 3 + 7 + 609 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12392019252900 + 1456694508096 = 3520230^2 + 1206936^2 .

It is not an unprimeable number, because it can be changed into a prime (13848713760997) 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 26 ways as a sum of consecutive naturals, for example, 826139311 + ... + 826156073.

Almost surely, 213848713760996 is an apocalyptic number.

13848713760996 is the 3721386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13848713760996

13848713760996 is an abundant number, since it is smaller than the sum of its proper divisors (22131595215525).

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

13848713760996 is an frugal number, since it uses more digits than its factorization.

13848713760996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33610 (or 16805 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 13848713760996 in words is "thirteen trillion, eight hundred forty-eight billion, seven hundred thirteen million, seven hundred sixty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 16763 24642 33526 49284 50289 67052 100578 150867 201156 301734 603468 620231 1240462 1860693 2480924 3721386 5582079 7442772 11164158 22328316 22948547 45897094 68845641 91794188 137691282 206536923 275382564 280998169 413073846 561996338 826147692 842994507 1123992676 1685989014 2528983521 3371978028 5057967042 10115934084 10396932253 20793864506 31190796759 41587729012 62381593518 93572390277 124763187036 187144780554 374289561108 384686493361 769372986722 1154059480083 1538745973444 2308118960166 3462178440249 4616237920332 6924356880498 13848713760996