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19901066752 = 29741135433
BaseRepresentation
bin10010100010001100…
…100010111000000000
31220100221100221100101
4102202030202320000
5311224133114002
613050432532144
71303111163530
oct224214427000
956327327311
1019901066752
1184926a7006
123a349b1054
131b52048858
14d6b0d14c0
157b7227587
hex4a2322e00

19901066752 has 80 divisors (see below), whose sum is σ = 46552457952. Its totient is φ = 8320942080.

The previous prime is 19901066747. The next prime is 19901066761. The reversal of 19901066752 is 25766010991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79228 + ... + 214660.

Almost surely, 219901066752 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 19901066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23276228976).

19901066752 is an abundant number, since it is smaller than the sum of its proper divisors (26651391200).

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

19901066752 is an equidigital number, since it uses as much as digits as its factorization.

19901066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135499 (or 135483 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 19901066752 in words is "nineteen billion, nine hundred one million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1148 1312 1792 2296 2624 3584 4592 5248 9184 10496 18368 20992 36736 73472 135433 146944 270866 541732 948031 1083464 1896062 2166928 3792124 4333856 5552753 7584248 8667712 11105506 15168496 17335424 22211012 30336992 34670848 38869271 44422024 60673984 69341696 77738542 88844048 121347968 155477084 177688096 242695936 310954168 355376192 485391872 621908336 710752384 1243816672 1421504768 2487633344 2843009536 4975266688 9950533376 19901066752