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201353705496 = 23352912728123
BaseRepresentation
bin1011101110000110011…
…1011011100000011000
3201020201200112001100000
42323201213123200120
511244333022033441
6232300044413000
720355506154156
oct2734147334030
9636650461300
10201353705496
1178436a10179
1233034b47160
1315cab90c048
149a61bc23d6
1553872222b6
hex2ee19db818

201353705496 has 192 divisors, whose sum is σ = 589659033600. Its totient is φ = 64290941568.

The previous prime is 201353705491. The next prime is 201353705521. The reversal of 201353705496 is 694507353102.

201353705496 is a `hidden beast` number, since 2 + 0 + 1 + 35 + 3 + 70 + 549 + 6 = 666.

201353705496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201353705491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7145691 + ... + 7173813.

It is an arithmetic number, because the mean of its divisors is an integer number (3071140800).

Almost surely, 2201353705496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201353705496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294829516800).

201353705496 is an abundant number, since it is smaller than the sum of its proper divisors (388305328104).

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

201353705496 is a wasteful number, since it uses less digits than its factorization.

201353705496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28300 (or 28284 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 201353705496 in words is "two hundred one billion, three hundred fifty-three million, seven hundred five thousand, four hundred ninety-six".