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4000066026 = 2311416722063
BaseRepresentation
bin1110111001101100…
…0010100111101010
3101022202211102000120
43232123002213222
531143004103101
61500531144110
7201061000035
oct35633024752
911282742016
104000066026
111772a298a0
12937745036
134b9945798
1429d37001c
15186289b36
hexee6c29ea

4000066026 has 64 divisors (see below), whose sum is σ = 9074128896. Its totient is φ = 1164873600.

The previous prime is 4000066003. The next prime is 4000066073. The reversal of 4000066026 is 6206600004.

It is a junction number, because it is equal to n+sod(n) for n = 4000065987 and 4000066005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170271 + ... + 192333.

It is an arithmetic number, because the mean of its divisors is an integer number (141783264).

Almost surely, 24000066026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000066026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537064448).

4000066026 is an abundant number, since it is smaller than the sum of its proper divisors (5074062870).

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

4000066026 is a wasteful number, since it uses less digits than its factorization.

4000066026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22187.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4000066026 is about 63246.0751825756. The cubic root of 4000066026 is about 1587.4097860653.

The spelling of 4000066026 in words is "four billion, sixty-six thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 41 66 67 82 123 134 201 246 402 451 737 902 1353 1474 2211 2706 2747 4422 5494 8241 16482 22063 30217 44126 60434 66189 90651 132378 181302 242693 485386 728079 904583 1456158 1478221 1809166 2713749 2956442 4434663 5427498 8869326 9950413 16260431 19900826 29851239 32520862 48781293 59702478 60607061 97562586 121214122 181821183 363642366 666677671 1333355342 2000033013 4000066026