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1820146295552 = 28133917139627
BaseRepresentation
bin11010011111001001001…
…011000110001100000000
320110000010010101000111012
4122133021023012030000
5214310124422424202
63512055203540052
7245333631145424
oct32371113061400
96400103330435
101820146295552
11641a13150722
1225490b38a628
13102840022850
146414a296b84
153252d571152
hex1a7c92c6300

1820146295552 has 72 divisors (see below), whose sum is σ = 3913685153616. Its totient is φ = 839847038976.

The previous prime is 1820146295549. The next prime is 1820146295579. The reversal of 1820146295552 is 2555926410281.

It is a self number, because there is not a number n which added to its sum of digits gives 1820146295552.

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 7 ways as a sum of consecutive naturals, for example, 12965963 + ... + 13105589.

Almost surely, 21820146295552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820146295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956842576808).

1820146295552 is an abundant number, since it is smaller than the sum of its proper divisors (2093538858064).

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

1820146295552 is a wasteful number, since it uses less digits than its factorization.

1820146295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143573 (or 143559 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 50.

The spelling of 1820146295552 in words is "one trillion, eight hundred twenty billion, one hundred forty-six million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3917 7834 15668 31336 50921 62672 101842 125344 139627 203684 250688 279254 407368 501376 558508 814736 1002752 1117016 1629472 1815151 2234032 3258944 3630302 4468064 6517888 7260604 8936128 13035776 14521208 17872256 29042416 35744512 58084832 116169664 232339328 464678656 546918959 1093837918 2187675836 4375351672 7109946467 8750703344 14219892934 17501406688 28439785868 35002813376 56879571736 70005626752 113759143472 140011253504 227518286944 455036573888 910073147776 1820146295552