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201244994496 = 263272132311361
BaseRepresentation
bin1011101101101100100…
…0101110101111000000
3201020110002221221212200
42323123020232233000
511244122204310441
6232241202353200
720353016141400
oct2733310565700
9636402857780
10201244994496
1178390609a77
123300465b800
1315c92238600
149a515a4800
15537c8eb7b6
hex2edb22ebc0

201244994496 has 756 divisors, whose sum is σ = 750585386304. Its totient is φ = 51325747200.

The previous prime is 201244994479. The next prime is 201244994497. The reversal of 201244994496 is 694499442102.

201244994496 is a `hidden beast` number, since 2 + 0 + 1 + 24 + 49 + 94 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201244994497) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 147864856 + ... + 147866216.

Almost surely, 2201244994496 is an apocalyptic number.

201244994496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201244994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375292693152).

201244994496 is an abundant number, since it is smaller than the sum of its proper divisors (549340391808).

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

201244994496 is a wasteful number, since it uses less digits than its factorization.

201244994496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 201244994496 in words is "two hundred one billion, two hundred forty-four million, nine hundred ninety-four thousand, four hundred ninety-six".