Search a number
-
+
6452232320736 = 2532235261185149
BaseRepresentation
bin101110111100100011100…
…0000111111011011100000
3211211211100011102201212200
41131321013000333123200
51321203132433230421
621420040431053200
71234105221546516
oct135710700773340
924754304381780
106452232320736
112068415a32474
1288259b671200
1337a59b0778a7
1418440ad744b6
15b2c861c9726
hex5de4703f6e0

6452232320736 has 144 divisors (see below), whose sum is σ = 19150040800800. Its totient is φ = 2056831349760.

The previous prime is 6452232320731. The next prime is 6452232320773. The reversal of 6452232320736 is 6370232322546.

6452232320736 is a `hidden beast` number, since 6 + 4 + 522 + 32 + 3 + 20 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6452232320691 and 6452232320700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452232320731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34756290 + ... + 34941438.

It is an arithmetic number, because the mean of its divisors is an integer number (132986394450).

Almost surely, 26452232320736 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 6452232320736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575020400400).

6452232320736 is an abundant number, since it is smaller than the sum of its proper divisors (12697808480064).

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

6452232320736 is a wasteful number, since it uses less digits than its factorization.

6452232320736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190449 (or 190438 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 6452232320736 in words is "six trillion, four hundred fifty-two billion, two hundred thirty-two million, three hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 5261 6624 10522 15783 21044 31566 42088 47349 63132 84176 94698 121003 126264 168352 185149 189396 242006 252528 363009 370298 378792 484012 505056 555447 726018 740596 757584 968024 1089027 1110894 1452036 1481192 1515168 1666341 1936048 2178054 2221788 2904072 2962384 3332682 3872096 4258427 4356108 4443576 5808144 5924768 6665364 8516854 8712216 8887152 11616288 12775281 13330728 17033708 17424432 17774304 25550562 26661456 34067416 34848864 38325843 51101124 53322912 68134832 76651686 102202248 136269664 153303372 204404496 306606744 408808992 613213488 974068889 1226426976 1948137778 2922206667 3896275556 5844413334 7792551112 8766620001 11688826668 15585102224 17533240002 22403584447 23377653336 31170204448 35066480004 44807168894 46755306672 67210753341 70132960008 89614337788 93510613344 134421506682 140265920016 179228675576 201632260023 268843013364 280531840032 358457351152 403264520046 537686026728 716914702304 806529040092 1075372053456 1613058080184 2150744106912 3226116160368 6452232320736