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1268575680312 = 23346451303469
BaseRepresentation
bin10010011101011101000…
…000001011011100111000
311111021102012221121120000
4102131131000023130320
5131241020333232222
62410435311233000
7160436326240113
oct22353500133470
94437365847500
101268575680312
11449aaa999756
12185a37518760
139281a91a235
1445583cdb57a
1522eea2509ac
hex1275d00b738

1268575680312 has 80 divisors (see below), whose sum is σ = 3553749018600. Its totient is φ = 422791617600.

The previous prime is 1268575680271. The next prime is 1268575680343. The reversal of 1268575680312 is 2130865758621.

1268575680312 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 575 + 68 + 0 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4028514 + ... + 4331982.

Almost surely, 21268575680312 is an apocalyptic number.

1268575680312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1268575680312 is an abundant number, since it is smaller than the sum of its proper divisors (2285173338288).

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

1268575680312 is a wasteful number, since it uses less digits than its factorization.

1268575680312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309938 (or 309925 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1268575680312 in words is "one trillion, two hundred sixty-eight billion, five hundred seventy-five million, six hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6451 12902 19353 25804 38706 51608 58059 77412 116118 154824 174177 232236 303469 348354 464472 522531 606938 696708 910407 1045062 1213876 1393416 1820814 2090124 2427752 2731221 3641628 4180248 5462442 7283256 8193663 10924884 16387326 21849768 24580989 32774652 49161978 65549304 98323956 196647912 1957678519 3915357038 5873035557 7830714076 11746071114 15661428152 17619106671 23492142228 35238213342 46984284456 52857320013 70476426684 105714640026 140952853368 158571960039 211429280052 317143920078 422858560104 634287840156 1268575680312