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1932388809201 = 3217293713738573
BaseRepresentation
bin11100000111101011010…
…110010011100111110001
320211201211111110111021100
4130013223112103213301
5223130013013343301
64035421022315013
7256416252602514
oct34075326234761
96751744414240
101932388809201
116855811184a4
12272615128a69
131102b9cb7ab6
1469757222d7b
15353ec482286
hex1c1eb5939f1

1932388809201 has 96 divisors (see below), whose sum is σ = 3142613129760. Its totient is φ = 1138067546112.

The previous prime is 1932388809199. The next prime is 1932388809217. The reversal of 1932388809201 is 1029088832391.

It can be written as a sum of positive squares in 16 ways, for example, as 112050867600 + 1820337941601 = 334740^2 + 1349199^2 .

It is not a de Polignac number, because 1932388809201 - 21 = 1932388809199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1932388809101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 225399751 + ... + 225408323.

It is an arithmetic number, because the mean of its divisors is an integer number (32735553435).

Almost surely, 21932388809201 is an apocalyptic number.

It is an amenable number.

1932388809201 is a deficient number, since it is larger than the sum of its proper divisors (1210224320559).

1932388809201 is a wasteful number, since it uses less digits than its factorization.

1932388809201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1932388809201 in words is "one trillion, nine hundred thirty-two billion, three hundred eighty-eight million, eight hundred nine thousand, two hundred one".

Divisors: 1 3 9 17 29 37 51 87 111 153 261 333 493 629 1073 1373 1479 1887 3219 4119 4437 5661 8573 9657 12357 18241 23341 25719 39817 50801 54723 70023 77157 119451 145741 152403 164169 210069 248617 317201 358353 437223 457209 676889 745851 863617 951603 1311669 1473229 2030667 2237553 2590851 2854809 4226489 4419687 5392417 6092001 7772553 9198829 11770729 12679467 13259061 16177251 25044893 27596487 35312187 38038401 48531753 75134679 82789461 105936561 156380093 200102393 225404037 341351141 435516973 469140279 600307179 1024053423 1306550919 1407420837 1800921537 3072160269 3919652757 5802969397 7403788541 12629992217 17408908191 22211365623 37889976651 52226724573 66634096869 113669929953 214709867689 644129603067 1932388809201