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201374456480 = 2551258590353
BaseRepresentation
bin1011101110001011011…
…0100101101010100000
3201020210010120022022222
42323202312211222200
511244403330101410
6232302105250212
720356150431521
oct2734266455240
9636703508288
10201374456480
11784476a374a
123303ba93968
1315cb2cc6232
149a64864848
155388e70955
hex2ee2da5aa0

201374456480 has 24 divisors (see below), whose sum is σ = 475747153812. Its totient is φ = 80549782528.

The previous prime is 201374456467. The next prime is 201374456537. The reversal of 201374456480 is 84654473102.

It is a happy number.

201374456480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200585745424 + 788711056 = 447868^2 + 28084^2 .

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 3 ways as a sum of consecutive naturals, for example, 629295017 + ... + 629295336.

Almost surely, 2201374456480 is an apocalyptic number.

201374456480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201374456480 is an abundant number, since it is smaller than the sum of its proper divisors (274372697332).

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

201374456480 is a wasteful number, since it uses less digits than its factorization.

201374456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258590368 (or 1258590360 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 201374456480 in words is "two hundred one billion, three hundred seventy-four million, four hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1258590353 2517180706 5034361412 6292951765 10068722824 12585903530 20137445648 25171807060 40274891296 50343614120 100687228240 201374456480