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264223355352 = 233111000846043
BaseRepresentation
bin1111011000010011110…
…0000111000111011000
3221021000011212011122020
43312010330013013120
513312112134332402
6321214343254440
725042462315035
oct3660474070730
9837004764566
10264223355352
11a2069217690
124325ba4a420
131bbbaa417a8
14cb0782a38c
156d1686b8bc
hex3d84f071d8

264223355352 has 32 divisors (see below), whose sum is σ = 720609151680. Its totient is φ = 80067683360.

The previous prime is 264223355351. The next prime is 264223355369. The reversal of 264223355352 is 253553322462.

264223355352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2642233553523 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264223355351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500422758 + ... + 500423285.

It is an arithmetic number, because the mean of its divisors is an integer number (22519035990).

Almost surely, 2264223355352 is an apocalyptic number.

264223355352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264223355352 is an abundant number, since it is smaller than the sum of its proper divisors (456385796328).

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

264223355352 is a wasteful number, since it uses less digits than its factorization.

264223355352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000846063 (or 1000846059 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 42.

The spelling of 264223355352 in words is "two hundred sixty-four billion, two hundred twenty-three million, three hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1000846043 2001692086 3002538129 4003384172 6005076258 8006768344 11009306473 12010152516 22018612946 24020305032 33027919419 44037225892 66055838838 88074451784 132111677676 264223355352