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1020000099968 = 2717749448969
BaseRepresentation
bin11101101011111001011…
…11100101111010000000
310121111210120010202212022
432311330233211322000
5113202430011144333
62100325342021012
7133456360540253
oct16657457457200
93544716122768
101020000099968
11363641513033
12145823b77768
13752549a9b15
143752275709a
151b7ec501c98
hexed7cbe5e80

1020000099968 has 32 divisors (see below), whose sum is σ = 2032150462500. Its totient is φ = 509970180096.

The previous prime is 1020000099919. The next prime is 1020000099983. The reversal of 1020000099968 is 8699900000201.

It can be written as a sum of positive squares in 2 ways, for example, as 917901957184 + 102098142784 = 958072^2 + 319528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2047388 + ... + 2496356.

Almost surely, 21020000099968 is an apocalyptic number.

It is an amenable number.

1020000099968 is a deficient number, since it is larger than the sum of its proper divisors (1012150362532).

1020000099968 is an equidigital number, since it uses as much as digits as its factorization.

1020000099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466732 (or 466720 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 1020000099968 in words is "one trillion, twenty billion, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 17749 35498 70996 141992 283984 448969 567968 897938 1135936 1795876 2271872 3591752 7183504 14367008 28734016 57468032 7968750781 15937501562 31875003124 63750006248 127500012496 255000024992 510000049984 1020000099968