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2299893632064 = 2635732411789
BaseRepresentation
bin100001011101111100010…
…101111100110001000000
322010212102112121211100000
4201131330111330301000
5300140140232211224
64520320114200000
7325106336214000
oct41357425746100
98125375554300
102299893632064
11807419aa72a6
12311899883000
13138b5732cb72
147d45b824000
153ec5b17a0c9
hex2177c57cc40

2299893632064 has 672 divisors, whose sum is σ = 8010018016000. Its totient is φ = 654020075520.

The previous prime is 2299893632027. The next prime is 2299893632077. The reversal of 2299893632064 is 4602363989922.

2299893632064 is a `hidden beast` number, since 2 + 299 + 89 + 3 + 63 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2299893631992 and 2299893632010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285574082 + ... + 1285575870.

Almost surely, 22299893632064 is an apocalyptic number.

2299893632064 is a gapful number since it is divisible by the number (24) 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 2299893632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005009008000).

2299893632064 is an abundant number, since it is smaller than the sum of its proper divisors (5710124383936).

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

2299893632064 is an equidigital number, since it uses as much as digits as its factorization.

2299893632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 2299893632064 in words is "two trillion, two hundred ninety-nine billion, eight hundred ninety-three million, six hundred thirty-two thousand, sixty-four".