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264350355320 = 23583505915739
BaseRepresentation
bin1111011000110010000…
…0100100111101111000
3221021100000211102211202
43312030200210331320
513312342142332240
6321235121313332
725045563642242
oct3661440447570
9837300742752
10264350355320
11a212397a637
1243296495848
131bc0b1498bc
14cb1a649092
156d22aa6315
hex3d8c824f78

264350355320 has 64 divisors (see below), whose sum is σ = 602111664000. Its totient is φ = 104438878848.

The previous prime is 264350355293. The next prime is 264350355337. The reversal of 264350355320 is 23553053462.

264350355320 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-2 number, since 2×2643503553202 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16788011 + ... + 16803749.

It is an arithmetic number, because the mean of its divisors is an integer number (9407994750).

Almost surely, 2264350355320 is an apocalyptic number.

264350355320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264350355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301055832000).

264350355320 is an abundant number, since it is smaller than the sum of its proper divisors (337761308680).

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

264350355320 is a wasteful number, since it uses less digits than its factorization.

264350355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20888 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

The spelling of 264350355320 in words is "two hundred sixty-four billion, three hundred fifty million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 5059 10118 15739 20236 25295 31478 40472 50590 62956 78695 101180 125912 157390 202360 314780 419897 629560 839794 1306337 1679588 2099485 2612674 3359176 4198970 5225348 6531685 8397940 10450696 13063370 16795880 26126740 52253480 79623601 159247202 318494404 398118005 636988808 796236010 1592472020 3184944040 6608758883 13217517766 26435035532 33043794415 52870071064 66087588830 132175177660 264350355320