Search a number
-
+
1276506291420 = 22325231021301993
BaseRepresentation
bin10010100100110101101…
…101000011110011011100
311112000212220210101210100
4102210311231003303130
5131403241102311140
62414230251541100
7161140005310233
oct22446555036334
94460786711710
101276506291420
114523aa583208
1218748b45a790
13934b2976a29
1445ad72a1b1a
15233115e1530
hex12935b43cdc

1276506291420 has 144 divisors (see below), whose sum is σ = 4044390622272. Its totient is φ = 325281623040.

The previous prime is 1276506291419. The next prime is 1276506291469. The reversal of 1276506291420 is 241926056721.

1276506291420 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 5 + 0 + 629 + 14 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4075944 + ... + 4377936.

It is an arithmetic number, because the mean of its divisors is an integer number (28086045988).

Almost surely, 21276506291420 is an apocalyptic number.

1276506291420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1276506291420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022195311136).

1276506291420 is an abundant number, since it is smaller than the sum of its proper divisors (2767884330852).

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

1276506291420 is a wasteful number, since it uses less digits than its factorization.

1276506291420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303052 (or 303047 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1276506291420 in words is "one trillion, two hundred seventy-six billion, five hundred six million, two hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1021 1035 1380 2042 2070 3063 4084 4140 5105 6126 9189 10210 12252 15315 18378 20420 23483 30630 36756 45945 46966 61260 70449 91890 93932 117415 140898 183780 211347 234830 281796 301993 352245 422694 469660 603986 704490 845388 905979 1056735 1207972 1408980 1509965 1811958 2113470 2717937 3019930 3623916 4226940 4529895 5435874 6039860 6945839 9059790 10871748 13589685 13891678 18119580 20837517 27179370 27783356 34729195 41675034 54358740 62512551 69458390 83350068 104187585 125025102 138916780 208375170 250050204 308334853 312562755 416750340 616669706 625125510 925004559 1233339412 1250251020 1541674265 1850009118 2775013677 3083348530 3700018236 4625022795 5550027354 6166697060 7091701619 9250045590 11100054708 13875068385 14183403238 18500091180 21275104857 27750136770 28366806476 35458508095 42550209714 55500273540 63825314571 70917016190 85100419428 106375524285 127650629142 141834032380 212751048570 255301258284 319126572855 425502097140 638253145710 1276506291420