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1202900045824 = 212171372
BaseRepresentation
bin10001100000010010011…
…011100001000000000000
311020222220011122200222001
4101200102123201000000
5124202014402431244
62320334334353344
7152622661454101
oct21402233410000
94228804580861
101202900045824
11424168797484
1217516895b854
1389582373559
14423137523a8
15214545d85d4
hex118126e1000

1202900045824 has 39 divisors (see below), whose sum is σ = 2405646792237. Its totient is φ = 601414926336.

The previous prime is 1202900045803. The next prime is 1202900045827. The reversal of 1202900045824 is 4285400092021.

The square root of 1202900045824 is 1096768.

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

It can be written as a sum of positive squares in only one way, i.e., 6869094400 + 1196030951424 = 82880^2 + 1093632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1202900045827) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 70184584 + ... + 70201720.

It is an arithmetic number, because the mean of its divisors is an integer number (61683251083).

Almost surely, 21202900045824 is an apocalyptic number.

1202900045824 is the 1096768-th square number.

It is an amenable number.

1202900045824 is a deficient number, since it is larger than the sum of its proper divisors (1202746746413).

1202900045824 is an frugal number, since it uses more digits than its factorization.

1202900045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34298 (or 17139 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 1202900045824 in words is "one trillion, two hundred two billion, nine hundred million, forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 17137 34274 68548 137096 274192 548384 1096768 2193536 4387072 8774144 17548288 35096576 70193152 293676769 587353538 1174707076 2349414152 4698828304 9397656608 18795313216 37590626432 75181252864 150362505728 300725011456 601450022912 1202900045824