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1309685994576 = 2434191227701
BaseRepresentation
bin10011000011101111010…
…111100101010001010000
311122012112021020221220000
4103003233113211101100
5132424214103311301
62441354512050000
7163423145162541
oct23035727452120
94565467227800
101309685994576
11465486667293
121919ab233900
139666ca2208b
1447563b304c8
1524104459786
hex130ef5e5450

1309685994576 has 150 divisors (see below), whose sum is σ = 3810698837946. Its totient is φ = 434260656000.

The previous prime is 1309685994569. The next prime is 1309685994577. The reversal of 1309685994576 is 6754995869031.

1309685994576 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 85 + 99 + 457 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1078017052176 + 231668942400 = 1038276^2 + 481320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309685994577) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 47265526 + ... + 47293226.

Almost surely, 21309685994576 is an apocalyptic number.

1309685994576 is a gapful number since it is divisible by the number (16) 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 1309685994576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905349418973).

1309685994576 is an abundant number, since it is smaller than the sum of its proper divisors (2501012843370).

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

1309685994576 is an equidigital number, since it uses as much as digits as its factorization.

1309685994576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28103 (or 27897 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 1309685994576 in words is "one trillion, three hundred nine billion, six hundred eighty-five million, nine hundred ninety-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 324 382 432 573 648 764 1146 1296 1528 1719 2292 3056 3438 4584 5157 6876 9168 10314 13752 15471 20628 27504 27701 30942 36481 41256 55402 61884 72962 82512 83103 109443 110804 123768 145924 166206 218886 221608 247536 249309 291848 328329 332412 437772 443216 498618 583696 656658 664824 747927 875544 984987 997236 1313316 1329648 1495854 1751088 1969974 1994472 2243781 2626632 2954961 2991708 3939948 3988944 4487562 5253264 5290891 5909922 5983416 7879896 8975124 10581782 11819844 11966832 15759792 15872673 17950248 21163564 23639688 31745346 35900496 42327128 47279376 47618019 63490692 84654256 95236038 126981384 142854057 190472076 253962768 285708114 380944152 428562171 571416228 761888304 857124342 1010560181 1142832456 1714248684 2021120362 2285664912 3031680543 3428497368 4042240724 6063361086 6856994736 8084481448 9095041629 12126722172 16168962896 18190083258 24253444344 27285124887 36380166516 48506888688 54570249774 72760333032 81855374661 109140499548 145520666064 163710749322 218280999096 327421498644 436561998192 654842997288 1309685994576