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2031705293641 = 23229221372
BaseRepresentation
bin11101100100001011000…
…100101000001101001001
321012020012000221122102221
4131210023010220031021
5231241413023344031
64153204051254041
7266533360024342
oct35441304501511
97166160848387
102031705293641
11713706743201
12289911baa321
1311978700a35a
147049959b0c9
1537cb16a3a11
hex1d90b128349

2031705293641 has 27 divisors (see below), whose sum is σ = 2200673452341. Its totient is φ = 1875479479104.

The previous prime is 2031705293617. The next prime is 2031705293701. The reversal of 2031705293641 is 1463925071302.

The square root of 2031705293641 is 1425379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 548658711225 + 1483046582416 = 740715^2 + 1217804^2 .

It is not a de Polignac number, because 2031705293641 - 211 = 2031705291593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2031705293741) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 950726725 + ... + 950728861.

Almost surely, 22031705293641 is an apocalyptic number.

2031705293641 is the 1425379-th square number.

2031705293641 is the 712690-th centered octagonal number.

It is an amenable number.

2031705293641 is a deficient number, since it is larger than the sum of its proper divisors (168968158700).

2031705293641 is an frugal number, since it uses more digits than its factorization.

2031705293641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 2031705293641 in words is "two trillion, thirty-one billion, seven hundred five million, two hundred ninety-three thousand, six hundred forty-one".

Divisors: 1 23 29 529 667 841 2137 15341 19343 49151 61973 444889 1130473 1425379 1797217 4566769 32783717 41335991 105035687 132436301 950727793 2415820801 3046034923 3840652729 70058803229 88335012767 2031705293641