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1973020775940 = 2232510961226533
BaseRepresentation
bin11100101101100001001…
…100111101011000000100
320222121201012200021011100
4130231201030331120010
5224311221304312230
64110220534340100
7262355202612114
oct34554114753004
96877635607140
101973020775940
116a08318784a5
1227a4747ba630
13114093c79176
146b6cd6d9044
15364c969d660
hex1cb6133d604

1973020775940 has 36 divisors (see below), whose sum is σ = 5984829687564. Its totient is φ = 526138873536.

The previous prime is 1973020775783. The next prime is 1973020775953. The reversal of 1973020775940 is 495770203791.

1973020775940 is a `hidden beast` number, since 19 + 7 + 30 + 2 + 0 + 7 + 7 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1433254318596 + 539766457344 = 1197186^2 + 734688^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 5480613087 + ... + 5480613446.

It is an arithmetic number, because the mean of its divisors is an integer number (166245269099).

Almost surely, 21973020775940 is an apocalyptic number.

1973020775940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1973020775940 is an abundant number, since it is smaller than the sum of its proper divisors (4011808911624).

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

1973020775940 is a wasteful number, since it uses less digits than its factorization.

1973020775940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961226548 (or 10961226543 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 1973020775940 in words is "one trillion, nine hundred seventy-three billion, twenty million, seven hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10961226533 21922453066 32883679599 43844906132 54806132665 65767359198 98651038797 109612265330 131534718396 164418397995 197302077594 219224530660 328836795990 394604155188 493255193985 657673591980 986510387970 1973020775940