Search a number
-
+
676722256512 = 27313117377761
BaseRepresentation
bin10011101100011111100…
…10100010101010000000
32101200201221022111201020
421312033302202222000
542041411344202022
61234514254305440
766614544162111
oct11661762425200
92350657274636
10676722256512
11240aa6087465
12ab1a0ab8280
134ba789a3523
1424a79998208
151290a6d335c
hex9d8fca2a80

676722256512 has 128 divisors (see below), whose sum is σ = 1821758368320. Its totient is φ = 222555340800.

The previous prime is 676722256499. The next prime is 676722256513. The reversal of 676722256512 is 215652227676.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6767222565122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (676722256513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8663712 + ... + 8741472.

Almost surely, 2676722256512 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 676722256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910879184160).

676722256512 is an abundant number, since it is smaller than the sum of its proper divisors (1145036111808).

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

676722256512 is a wasteful number, since it uses less digits than its factorization.

676722256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78082 (or 78070 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 676722256512 in words is "six hundred seventy-six billion, seven hundred twenty-two million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 173 192 262 346 384 393 519 524 692 786 1038 1048 1384 1572 2076 2096 2768 3144 4152 4192 5536 6288 8304 8384 11072 12576 16608 16768 22144 22663 25152 33216 45326 50304 66432 67989 77761 90652 135978 155522 181304 233283 271956 311044 362608 466566 543912 622088 725216 933132 1087824 1244176 1450432 1866264 2175648 2488352 2900864 3732528 4351296 4976704 7465056 8702592 9953408 10186691 13452653 14930112 20373382 26905306 29860224 30560073 40357959 40746764 53810612 61120146 80715918 81493528 107621224 122240292 161431836 162987056 215242448 244480584 322863672 325974112 430484896 488961168 645727344 651948224 860969792 977922336 1291454688 1303896448 1721939584 1762297543 1955844672 2582909376 3524595086 3911689344 5165818752 5286892629 7049190172 10573785258 14098380344 21147570516 28196760688 42295141032 56393521376 84590282064 112787042752 169180564128 225574085504 338361128256 676722256512