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676755221120 = 27511103933301
BaseRepresentation
bin10011101100100011100…
…00010010101010000000
32101200211020100021122122
421312101300102222000
542041443314033440
61234521433023412
766615424315616
oct11662160225200
92350736307578
10676755221120
11241012752240
12ab1abb54b68
134ba82775a04
1424a800d96b6
151290d5457b5
hex9d91c12a80

676755221120 has 128 divisors (see below), whose sum is σ = 1782084170880. Its totient is φ = 243703296000.

The previous prime is 676755221117. The next prime is 676755221167. The reversal of 676755221120 is 21122557676.

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

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258470 + ... + 1191770.

It is an arithmetic number, because the mean of its divisors is an integer number (13922532585).

Almost surely, 2676755221120 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 676755221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891042085440).

676755221120 is an abundant number, since it is smaller than the sum of its proper divisors (1105328949760).

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

676755221120 is a wasteful number, since it uses less digits than its factorization.

676755221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933434 (or 933422 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

Adding to 676755221120 its reverse (21122557676), we get a palindrome (697877778796).

The spelling of 676755221120 in words is "six hundred seventy-six billion, seven hundred fifty-five million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 103 110 128 160 176 206 220 320 352 412 440 515 640 704 824 880 1030 1133 1408 1648 1760 2060 2266 3296 3520 4120 4532 5665 6592 7040 8240 9064 11330 13184 16480 18128 22660 32960 36256 45320 65920 72512 90640 145024 181280 362560 725120 933301 1866602 3733204 4666505 7466408 9333010 10266311 14932816 18666020 20532622 29865632 37332040 41065244 51331555 59731264 74664080 82130488 96130003 102663110 119462528 149328160 164260976 192260006 205326220 298656320 328521952 384520012 410652440 480650015 597312640 657043904 769040024 821304880 961300030 1057430033 1314087808 1538080048 1642609760 1922600060 2114860066 3076160096 3285219520 3845200120 4229720132 5287150165 6152320192 6570439040 7690400240 8459440264 10574300330 12304640384 15380800480 16918880528 21148600660 30761600960 33837761056 42297201320 61523201920 67675522112 84594402640 135351044224 169188805280 338377610560 676755221120