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1350233653536 = 25324688311297
BaseRepresentation
bin10011101001100000001…
…100101000000100100000
311210002012002211110020200
4103221200030220010200
5134110234303403121
62512142213105200
7166360022454645
oct23514014500440
94702162743220
101350233653536
114806a3773639
12199826628200
139a4323a53a1
14494ccd3bdcc
15251c9070a26
hex13a60328120

1350233653536 has 36 divisors (see below), whose sum is σ = 3839726953062. Its totient is φ = 450077884416.

The previous prime is 1350233653519. The next prime is 1350233653609. The reversal of 1350233653536 is 6353563320531.

1350233653536 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 233 + 65 + 353 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 923098208400 + 427135445136 = 960780^2 + 653556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1350233653491 and 1350233653500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2344155361 + ... + 2344155936.

Almost surely, 21350233653536 is an apocalyptic number.

1350233653536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1350233653536 is an abundant number, since it is smaller than the sum of its proper divisors (2489493299526).

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

1350233653536 is a wasteful number, since it uses less digits than its factorization.

1350233653536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688311313 (or 4688311302 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 45.

The spelling of 1350233653536 in words is "one trillion, three hundred fifty billion, two hundred thirty-three million, six hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4688311297 9376622594 14064933891 18753245188 28129867782 37506490376 42194801673 56259735564 75012980752 84389603346 112519471128 150025961504 168779206692 225038942256 337558413384 450077884512 675116826768 1350233653536