Search a number
-
+
13334829312 = 283712719531
BaseRepresentation
bin11000110101101000…
…10101100100000000
31021102022211111221010
430122310111210000
5204302204014222
610043111400520
7651310115250
oct143264254400
937368744833
1013334829312
1157231886a2
122701983140
13134687595c
14907007960
15530a4080c
hex31ad15900

13334829312 has 144 divisors (see below), whose sum is σ = 40881569792. Its totient is φ = 3779758080.

The previous prime is 13334829293. The next prime is 13334829317. The reversal of 13334829312 is 21392843331.

It is not an unprimeable number, because it can be changed into a prime (13334829317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672987 + ... + 692517.

Almost surely, 213334829312 is an apocalyptic number.

13334829312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440784896).

13334829312 is an abundant number, since it is smaller than the sum of its proper divisors (27546740480).

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

13334829312 is a wasteful number, since it uses less digits than its factorization.

13334829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19684 (or 19670 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The spelling of 13334829312 in words is "thirteen billion, three hundred thirty-four million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 672 762 768 889 896 1016 1344 1524 1778 1792 2032 2667 2688 3048 3556 4064 5334 5376 6096 7112 8128 10668 12192 14224 16256 19531 21336 24384 28448 32512 39062 42672 48768 56896 58593 78124 85344 97536 113792 117186 136717 156248 170688 227584 234372 273434 312496 341376 410151 468744 546868 624992 682752 820302 937488 1093736 1249984 1640604 1874976 2187472 2480437 2499968 3281208 3749952 4374944 4960874 4999936 6562416 7441311 7499904 8749888 9921748 13124832 14882622 14999808 17363059 17499776 19843496 26249664 29765244 34726118 34999552 39686992 52089177 52499328 59530488 69452236 79373984 104178354 104998656 119060976 138904472 158747968 208356708 238121952 277808944 317495936 416713416 476243904 555617888 634991872 833426832 952487808 1111235776 1666853664 1904975616 2222471552 3333707328 4444943104 6667414656 13334829312