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1820423227776 = 273139128926459
BaseRepresentation
bin11010011111011001101…
…011100000100110000000
320110000211102110122002020
4122133121223200212000
5214311211321242101
63512142455321440
7245343533061126
oct32373153404600
96400742418066
101820423227776
116420454a9a2a
12254988080280
13102885504a7a
1464174d83916
1532547a25136
hex1a7d9ae0980

1820423227776 has 128 divisors (see below), whose sum is σ = 4874249520000. Its totient is φ = 601952096256.

The previous prime is 1820423227769. The next prime is 1820423227781. The reversal of 1820423227776 is 6777223240281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68788435 + ... + 68814893.

It is an arithmetic number, because the mean of its divisors is an integer number (38080074375).

Almost surely, 21820423227776 is an apocalyptic number.

1820423227776 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 1820423227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437124760000).

1820423227776 is an abundant number, since it is smaller than the sum of its proper divisors (3053826292224).

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

1820423227776 is a wasteful number, since it uses less digits than its factorization.

1820423227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27904 (or 27892 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 1820423227776 in words is "one trillion, eight hundred twenty billion, four hundred twenty-three million, two hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1289 1668 2224 2578 3336 3867 4448 5156 6672 7734 8896 10312 13344 15468 17792 20624 26459 26688 30936 41248 52918 53376 61872 79377 82496 105836 123744 158754 164992 179171 211672 247488 317508 358342 423344 494976 537513 635016 716684 846688 1075026 1270032 1433368 1693376 2150052 2540064 2866736 3386752 3677801 4300104 5080128 5733472 7355602 8600208 10160256 11033403 11466944 14711204 17200416 22066806 22933888 29422408 34105651 34400832 44133612 58844816 68211302 68801664 88267224 102316953 117689632 136422604 176534448 204633906 235379264 272845208 353068896 409267812 470758528 545690416 706137792 818535624 1091380832 1412275584 1637071248 2182761664 3274142496 4365523328 4740685489 6548284992 9481370978 13096569984 14222056467 18962741956 28444112934 37925483912 56888225868 75850967824 113776451736 151701935648 227552903472 303403871296 455105806944 606807742592 910211613888 1820423227776