Search a number
-
+
5722669148672 = 29719731151209
BaseRepresentation
bin101001101000110100110…
…1010010110101000000000
3202021002012122121121001002
41103101221222112220000
51222230011300224142
620100542524231132
71130310035113130
oct123215152265000
922232178547032
105722669148672
111906a745aa073
1278511239b4a8
13326850bacc38
1415ad9b654ac0
159dcd6a33a32
hex53469a96a00

5722669148672 has 160 divisors (see below), whose sum is σ = 13943823907200. Its totient is φ = 2291659112448.

The previous prime is 5722669148671. The next prime is 5722669148687. The reversal of 5722669148672 is 2768419662275.

It is a junction number, because it is equal to n+sod(n) for n = 5722669148599 and 5722669148608.

It is not an unprimeable number, because it can be changed into a prime (5722669148671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4395404 + ... + 5546612.

It is an arithmetic number, because the mean of its divisors is an integer number (87148899420).

Almost surely, 25722669148672 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 5722669148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971911953600).

5722669148672 is an abundant number, since it is smaller than the sum of its proper divisors (8221154758528).

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

5722669148672 is a wasteful number, since it uses less digits than its factorization.

5722669148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151326 (or 1151310 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 65.

The spelling of 5722669148672 in words is "five trillion, seven hundred twenty-two billion, six hundred sixty-nine million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 128 133 146 152 224 256 266 292 304 448 511 512 532 584 608 896 1022 1064 1168 1216 1387 1792 2044 2128 2336 2432 2774 3584 4088 4256 4672 4864 5548 8176 8512 9344 9709 9728 11096 16352 17024 18688 19418 22192 32704 34048 37376 38836 44384 65408 68096 77672 88768 130816 155344 177536 261632 310688 355072 621376 710144 1151209 1242752 2302418 2485504 4604836 4971008 8058463 9209672 16116926 18419344 21872971 32233852 36838688 43745942 64467704 73677376 84038257 87491884 128935408 147354752 153110797 168076514 174983768 257870816 294709504 306221594 336153028 349967536 515741632 588267799 589419008 612443188 672306056 699935072 1031483264 1176535598 1224886376 1344612112 1399870144 1596726883 2062966528 2353071196 2449772752 2689224224 2799740288 3193453766 4125933056 4706142392 4899545504 5378448448 5599480576 6386907532 9412284784 9799091008 10756896896 11177088181 11198961152 12773815064 18824569568 19598182016 21513793792 22354176362 25547630128 37649139136 39196364032 43027587584 44708352724 51095260256 75298278272 78392728064 89416705448 102190520512 150596556544 178833410896 204381041024 301193113088 357666821792 408762082048 715333643584 817524164096 1430667287168 2861334574336 5722669148672