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1275648266916 = 223417236912
BaseRepresentation
bin10010100100000010100…
…011111101001010100100
311111221200010021020110000
4102210002203331022210
5131400011424020131
62414005201301300
7161106516235122
oct22440243751244
94457603236400
101275648266916
11451aaa210751
12187290034830
13933a6c8911a
1445a55350912
15232b1106ce6
hex129028fd2a4

1275648266916 has 135 divisors (see below), whose sum is σ = 3543460168017. Its totient is φ = 400094951040.

The previous prime is 1275648266897. The next prime is 1275648266923. The reversal of 1275648266916 is 6196628465721.

The square root of 1275648266916 is 1129446.

It is a perfect power (a square), and thus also a powerful number.

1275648266916 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 6 + 482 + 66 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 993151764900 + 282496502016 = 996570^2 + 531504^2 .

It is a super-3 number, since 3×12756482669163 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 345608631 + ... + 345612321.

Almost surely, 21275648266916 is an apocalyptic number.

1275648266916 is the 1129446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275648266916

1275648266916 is an abundant number, since it is smaller than the sum of its proper divisors (2267811901101).

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

1275648266916 is an frugal number, since it uses more digits than its factorization.

1275648266916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 3713 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

It can be divided in two parts, 1275648 and 266916, that added together give a square (1542564 = 12422).

The spelling of 1275648266916 in words is "one trillion, two hundred seventy-five billion, six hundred forty-eight million, two hundred sixty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 3691 5202 5508 7382 7803 10404 11073 14764 15606 22146 23409 31212 33219 44292 46818 62747 66438 93636 99657 125494 132876 188241 199314 250988 298971 376482 398628 564723 597942 752964 1066699 1129446 1195884 1694169 2133398 2258892 3200097 3388338 4266796 5082507 6400194 6776676 9600291 10165014 12800388 13623481 19200582 20330028 27246962 28800873 38401164 40870443 54493924 57601746 81740886 86402619 115203492 122611329 163481772 172805238 231599177 245222658 345610476 367833987 463198354 490445316 694797531 735667974 926396708 1103501961 1389595062 1471335948 2084392593 2207003922 2779190124 3937186009 4168785186 4414007844 6253177779 7874372018 8337570372 11811558027 12506355558 15748744036 18759533337 23623116054 25012711116 35434674081 37519066674 47246232108 70869348162 75038133348 106304022243 141738696324 212608044486 318912066729 425216088972 637824133458 1275648266916