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1327423400800 = 25527237039893
BaseRepresentation
bin10011010100010000100…
…110011010101101100000
311200220022102022112222021
4103110100212122231200
5133222030342311200
62453450534151224
7164621534511250
oct23242046325540
94626272275867
101327423400800
11471a589a40a2
1219531b4b2514
1398238720913
1448367723960
15247e174241a
hex1351099ab60

1327423400800 has 72 divisors (see below), whose sum is σ = 3703511303856. Its totient is φ = 455116592640.

The previous prime is 1327423400783. The next prime is 1327423400879. The reversal of 1327423400800 is 80043247231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118514347 + ... + 118525546.

It is an arithmetic number, because the mean of its divisors is an integer number (51437656998).

Almost surely, 21327423400800 is an apocalyptic number.

1327423400800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327423400800 is an abundant number, since it is smaller than the sum of its proper divisors (2376087903056).

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

1327423400800 is a wasteful number, since it uses less digits than its factorization.

1327423400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237039920 (or 237039907 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 1327423400800 in words is "one trillion, three hundred twenty-seven billion, four hundred twenty-three million, four hundred thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 237039893 474079786 948159572 1185199465 1659279251 1896319144 2370398930 3318558502 3792638288 4740797860 5925997325 6637117004 7585276576 8296396255 9481595720 11851994650 13274234008 16592792510 18963191440 23703989300 26548468016 33185585020 37926382880 41481981275 47407978600 53096936032 66371170040 82963962550 94815957200 132742340080 165927925100 189631914400 265484680160 331855850200 663711700400 1327423400800