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820381733532 = 2232137166338551
BaseRepresentation
bin10111111000000101000…
…11111101001010011100
32220102112210222002012100
423330002203331022130
5101420120210433112
61424513403405100
7113161552451454
oct13740243751234
92812483862170
10820381733532
11296a16112879
12112bb4223790
135c49176b52a
142b9c7218d64
15165178142dc
hexbf028fd29c

820381733532 has 36 divisors (see below), whose sum is σ = 2088879536016. Its totient is φ = 271464513600.

The previous prime is 820381733461. The next prime is 820381733573. The reversal of 820381733532 is 235337183028.

820381733532 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 81 + 7 + 33 + 532 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83164344 + ... + 83174207.

It is an arithmetic number, because the mean of its divisors is an integer number (58024431556).

Almost surely, 2820381733532 is an apocalyptic number.

It is an amenable number.

820381733532 is an abundant number, since it is smaller than the sum of its proper divisors (1268497802484).

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

820381733532 is a wasteful number, since it uses less digits than its factorization.

820381733532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166338698 (or 166338693 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 820381733532 in words is "eight hundred twenty billion, three hundred eighty-one million, seven hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 166338551 332677102 499015653 665354204 998031306 1497046959 1996062612 2994093918 5988187836 22788381487 45576762974 68365144461 91153525948 136730288922 205095433383 273460577844 410190866766 820381733532