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1468118827000 = 235371712337133
BaseRepresentation
bin10101010111010010101…
…100110111111111111000
312012100110201120202010101
4111113102230313333320
5143023201404431000
63042240001325144
7211032232062220
oct25272254677770
95170421522111
101468118827000
11516697893231
121b86460367b4
13a859b3b01b7
14510b3459080
15282c8530e6a
hex155d2b37ff8

1468118827000 has 128 divisors (see below), whose sum is σ = 4157120672640. Its totient is φ = 473745868800.

The previous prime is 1468118826961. The next prime is 1468118827001. The reversal of 1468118827000 is 7288118641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468118827001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6049567 + ... + 6287566.

It is an arithmetic number, because the mean of its divisors is an integer number (32477505255).

Almost surely, 21468118827000 is an apocalyptic number.

1468118827000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468118827000 is an abundant number, since it is smaller than the sum of its proper divisors (2689001845640).

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

1468118827000 is a wasteful number, since it uses less digits than its factorization.

1468118827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12337178 (or 12337164 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 1468118827000 in words is "one trillion, four hundred sixty-eight billion, one hundred eighteen million, eight hundred twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 12337133 24674266 49348532 61685665 86359931 98697064 123371330 172719862 209731261 246742660 308428325 345439724 419462522 431799655 493485320 616856650 690879448 838925044 863599310 1048656305 1233713300 1468118827 1542141625 1677850088 1727198620 2097312610 2158998275 2467426600 2936237654 3084283250 3454397240 4194625220 4317996550 5243281525 5872475308 6168566500 7340594135 8389250440 8635993100 10486563050 10794991375 11744950616 12337133000 14681188270 17271986200 20973126100 21589982750 26216407625 29362376540 36702970675 41946252200 43179965500 52432815250 58724753080 73405941350 86359931000 104865630500 146811882700 183514853375 209731261000 293623765400 367029706750 734059413500 1468118827000