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2041072252921 = 1321098972
BaseRepresentation
bin11101101100111001011…
…000101111011111111001
321020010100211112110221201
4131230321120233133321
5231420103444043141
64201353341534201
7300314446615462
oct35547130573771
97203324473851
102041072252921
11717683092369
1228b6a6b74361
1311a61a800c00
1470b07615d69
153815dbb9031
hex1db3962f7f9

2041072252921 has 9 divisors (see below), whose sum is σ = 2210175272781. Its totient is φ = 1884049551072.

The previous prime is 2041072252909. The next prime is 2041072252939. The reversal of 2041072252921 is 1292522701402.

It is a happy number.

The square root of 2041072252921 is 1428661.

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 825301388521 + 1215770864400 = 908461^2 + 1102620^2 .

It is not a de Polignac number, because 2041072252921 - 25 = 2041072252889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2041072292921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18517645 + ... + 18627541.

It is an arithmetic number, because the mean of its divisors is an integer number (245575030309).

Almost surely, 22041072252921 is an apocalyptic number.

2041072252921 is the 1428661-st square number.

2041072252921 is the 714331-st centered octagonal number.

It is an amenable number.

2041072252921 is a deficient number, since it is larger than the sum of its proper divisors (169103019860).

2041072252921 is an frugal number, since it uses more digits than its factorization.

2041072252921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219820 (or 109910 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 2041072252921 in words is "two trillion, forty-one billion, seventy-two million, two hundred fifty-two thousand, nine hundred twenty-one".

Divisors: 1 13 169 109897 1428661 18572593 12077350609 157005557917 2041072252921