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2263041405525 = 352197153166931
BaseRepresentation
bin100000111011100111110…
…001110111001001010101
322000100022020122202020210
4200323213301313021111
5244034202044434100
64451343223120033
7322333163363205
oct40734761671125
98010266582223
102263041405525
117a282897002a
12306713ba3019
13135533461464
147b763328405
153dd00bc6c50
hex20ee7c77255

2263041405525 has 24 divisors (see below), whose sum is σ = 3760554514464. Its totient is φ = 1200828731200.

The previous prime is 2263041405497. The next prime is 2263041405551. The reversal of 2263041405525 is 5255041403622.

It is not a de Polignac number, because 2263041405525 - 26 = 2263041405461 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76568691 + ... + 76598240.

It is an arithmetic number, because the mean of its divisors is an integer number (156689771436).

Almost surely, 22263041405525 is an apocalyptic number.

2263041405525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2263041405525 is a deficient number, since it is larger than the sum of its proper divisors (1497513108939).

2263041405525 is a wasteful number, since it uses less digits than its factorization.

2263041405525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153167141 (or 153167136 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 2263041405525 in words is "two trillion, two hundred sixty-three billion, forty-one million, four hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 197 591 985 2955 4925 14775 153166931 459500793 765834655 2297503965 3829173275 11487519825 30173885407 90521656221 150869427035 452608281105 754347135175 2263041405525