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2066224064 = 261710118803
BaseRepresentation
bin111101100101000…
…0001001111000000
312022222222001120012
41323022001033000
513212423132224
6541010204052
7102126420602
oct17312011700
95288861505
102066224064
119703697a3
12497b83628
1326c0c32b8
141585b7172
15c15e480e
hex7b2813c0

2066224064 has 56 divisors (see below), whose sum is σ = 4384566288. Its totient is φ = 962662400.

The previous prime is 2066224051. The next prime is 2066224079. The reversal of 2066224064 is 4604226602.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2066224064.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 100487 + ... + 119289.

Almost surely, 22066224064 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 2066224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192283144).

2066224064 is an abundant number, since it is smaller than the sum of its proper divisors (2318342224).

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

2066224064 is a wasteful number, since it uses less digits than its factorization.

2066224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18933 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2066224064 is about 45455.7374156442. The cubic root of 2066224064 is about 1273.6765072555.

The spelling of 2066224064 in words is "two billion, sixty-six million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 13736 18803 27472 37606 54944 75212 109888 150424 300848 319651 601696 639302 1203392 1278604 1899103 2557208 3798206 5114416 7596412 10228832 15192824 20457664 30385648 32284751 60771296 64569502 121542592 129139004 258278008 516556016 1033112032 2066224064