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4066224064 = 26726334511
BaseRepresentation
bin1111001001011101…
…1010011111000000
3101111101022120210021
43302113122133000
531311423132224
61511253143224
7202523222440
oct36227323700
911441276707
104066224064
1117a7306361
1295592ab14
134ca56a656
142a8072120
1518bea71e4
hexf25da7c0

4066224064 has 56 divisors (see below), whose sum is σ = 9256946688. Its totient is φ = 1735991040.

The previous prime is 4066224053. The next prime is 4066224091. The reversal of 4066224064 is 4604226604.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100569 + ... + 135079.

Almost surely, 24066224064 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 4066224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628473344).

4066224064 is an abundant number, since it is smaller than the sum of its proper divisors (5190722624).

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

4066224064 is a wasteful number, since it uses less digits than its factorization.

4066224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34793 (or 34783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 4066224064 is about 63766.9511894680. The cubic root of 4066224064 is about 1596.1134920539.

The spelling of 4066224064 in words is "four billion, sixty-six million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1841 2104 3682 4208 7364 8416 14728 16832 29456 34511 58912 69022 117824 138044 241577 276088 483154 552176 966308 1104352 1932616 2208704 3865232 7730464 9076393 15460928 18152786 36305572 63534751 72611144 127069502 145222288 254139004 290444576 508278008 580889152 1016556016 2033112032 4066224064