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266012064 = 2532923653
BaseRepresentation
bin11111101101100…
…00010110100000
3200112112210221200
433312300112200
51021044341224
642221321200
76410031243
oct1766602640
9615483850
10266012064
1112717a88a
1275106200
134315a8b6
142748725a
15185485c9
hexfdb05a0

266012064 has 36 divisors (see below), whose sum is σ = 756472626. Its totient is φ = 88670592.

The previous prime is 266012051. The next prime is 266012081. The reversal of 266012064 is 460210662.

It is a happy number.

266012064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240002064 + 26010000 = 15492^2 + 5100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461539 + ... + 462114.

Almost surely, 2266012064 is an apocalyptic number.

266012064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

266012064 is an abundant number, since it is smaller than the sum of its proper divisors (490460562).

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

266012064 is a wasteful number, since it uses less digits than its factorization.

266012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923669 (or 923658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 266012064 is about 16309.8762717563. The cubic root of 266012064 is about 643.1324815887.

The spelling of 266012064 in words is "two hundred sixty-six million, twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 923653 1847306 2770959 3694612 5541918 7389224 8312877 11083836 14778448 16625754 22167672 29556896 33251508 44335344 66503016 88670688 133006032 266012064