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12770751513040 = 245288375535749
BaseRepresentation
bin1011100111010110110000…
…0110111000000111010000
31200012212112122000202111021
42321311230012320013100
53133213444341404130
643054445141525224
72455441061535553
oct271655406700720
950185478022437
1012770751513040
114084055329424
121523082a13814
13718379bab531
1432217164269a
151722e358437a
hexb9d6c1b81d0

12770751513040 has 40 divisors (see below), whose sum is σ = 29693032281000. Its totient is φ = 5108122538496.

The previous prime is 12770751513017. The next prime is 12770751513049. The reversal of 12770751513040 is 4031515707721.

It can be written as a sum of positive squares in 4 ways, for example, as 2350199377296 + 10420552135744 = 1533036^2 + 3228088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770751513049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460915 + ... + 5074834.

It is an arithmetic number, because the mean of its divisors is an integer number (742325807025).

Almost surely, 212770751513040 is an apocalyptic number.

12770751513040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12770751513040 is an abundant number, since it is smaller than the sum of its proper divisors (16922280767960).

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

12770751513040 is a wasteful number, since it uses less digits than its factorization.

12770751513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564599 (or 5564593 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 43.

The spelling of 12770751513040 in words is "twelve trillion, seven hundred seventy billion, seven hundred fifty-one million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28837 57674 115348 144185 230696 288370 461392 576740 1153480 2306960 5535749 11071498 22142996 27678745 44285992 55357490 88571984 110714980 221429960 442859920 159634393913 319268787826 638537575652 798171969565 1277075151304 1596343939130 2554150302608 3192687878260 6385375756520 12770751513040