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1379316127600 = 2452171091860923
BaseRepresentation
bin10100000100100101101…
…001011101011101110000
311212212020220122012122201
4110010211221131131300
5140044314412040400
62533352111312544
7201436511432035
oct24044551353560
94785226565581
101379316127600
11491a67aa4874
121a33a221b754
13a00b8648818
144aa8b58738c
1525d2c35a06a
hex14125a5d770

1379316127600 has 120 divisors (see below), whose sum is σ = 3540928968720. Its totient is φ = 514507714560.

The previous prime is 1379316127537. The next prime is 1379316127603. The reversal of 1379316127600 is 67216139731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379316127603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189262 + ... + 1671661.

It is an arithmetic number, because the mean of its divisors is an integer number (29507741406).

Almost surely, 21379316127600 is an apocalyptic number.

1379316127600 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 1379316127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770464484360).

1379316127600 is an abundant number, since it is smaller than the sum of its proper divisors (2161612841120).

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

1379316127600 is a wasteful number, since it uses less digits than its factorization.

1379316127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861067 (or 1861056 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 1379316127600 in words is "one trillion, three hundred seventy-nine billion, three hundred sixteen million, one hundred twenty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 109 136 170 200 218 272 340 400 425 436 545 680 850 872 1090 1360 1700 1744 1853 2180 2725 3400 3706 4360 5450 6800 7412 8720 9265 10900 14824 18530 21800 29648 37060 43600 46325 74120 92650 148240 185300 370600 741200 1860923 3721846 7443692 9304615 14887384 18609230 29774768 31635691 37218460 46523075 63271382 74436920 93046150 126542764 148873840 158178455 186092300 202840607 253085528 316356910 372184600 405681214 506171056 632713820 744369200 790892275 811362428 1014203035 1265427640 1581784550 1622724856 2028406070 2530855280 3163569100 3245449712 3448290319 4056812140 5071015175 6327138200 6896580638 8113624280 10142030350 12654276400 13793161276 16227248560 17241451595 20284060700 27586322552 34482903190 40568121400 55172645104 68965806380 81136242800 86207257975 137931612760 172414515950 275863225520 344829031900 689658063800 1379316127600