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264084340432 = 241111279133033
BaseRepresentation
bin1111010111110010100…
…1110011111011010000
3221020122111021111000111
43311330221303323100
513311321042343212
6321152455531104
725036153566523
oct3657451637320
9836574244014
10264084340432
11a1aa77a8720
1243221389a94
131bb97cba943
14cad31a0bba
156d0955bea7
hex3d7ca73ed0

264084340432 has 40 divisors (see below), whose sum is σ = 558231949440. Its totient is φ = 120026791680.

The previous prime is 264084340411. The next prime is 264084340441. The reversal of 264084340432 is 234043480462.

It is a happy number.

It is a super-2 number, since 2×2640843404322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918588 + ... + 2051620.

It is an arithmetic number, because the mean of its divisors is an integer number (13955798736).

Almost surely, 2264084340432 is an apocalyptic number.

264084340432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264084340432 is an abundant number, since it is smaller than the sum of its proper divisors (294147609008).

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

264084340432 is a wasteful number, since it uses less digits than its factorization.

264084340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144331 (or 144325 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 264084340432 in words is "two hundred sixty-four billion, eighty-four million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 11279 22558 45116 90232 124069 133033 180464 248138 266066 496276 532132 992552 1064264 1463363 1985104 2128528 2926726 5853452 11706904 23413808 1500479207 3000958414 6001916828 12003833656 16505271277 24007667312 33010542554 66021085108 132042170216 264084340432