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50434443405 = 32517237281373
BaseRepresentation
bin101110111110001000…
…001000100010001101
311211011212022011221100
4232332020020202031
51311242204142110
635100321053313
73433545460413
oct567610104215
9154155264840
1050434443405
111a430a23895
129936487239
1349a9a80928
1426262dd2b3
1514a2aadbc0
hexbbe20888d

50434443405 has 144 divisors (see below), whose sum is σ = 95970395664. Its totient is φ = 24478433280.

The previous prime is 50434443403. The next prime is 50434443407.

50434443405 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (50434443403) and next prime (50434443407).

It can be written as a sum of positive squares in 24 ways, for example, as 2439273321 + 47995170084 = 49389^2 + 219078^2 .

It is not a de Polignac number, because 50434443405 - 21 = 50434443403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 50434443405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50434443403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135212799 + ... + 135213171.

It is an arithmetic number, because the mean of its divisors is an integer number (666461081).

Almost surely, 250434443405 is an apocalyptic number.

It is an amenable number.

50434443405 is a deficient number, since it is larger than the sum of its proper divisors (45535952259).

50434443405 is a wasteful number, since it uses less digits than its factorization.

50434443405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 50434443405 in words is "fifty billion, four hundred thirty-four million, four hundred forty-three thousand, four hundred five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 281 289 333 373 555 629 765 843 867 1119 1405 1445 1665 1865 1887 2529 2601 3145 3357 4215 4335 4777 5595 5661 6341 9435 10397 10693 12645 13005 13801 14331 16785 19023 23885 28305 31191 31705 32079 41403 42993 51985 53465 57069 69005 71655 81209 93573 95115 96237 104813 107797 124209 155955 160395 176749 207015 214965 234617 243627 285345 314439 323391 406045 467865 481185 524065 530247 538985 621045 703851 730881 883745 943317 970173 1173085 1218135 1572195 1590741 1616955 1781821 2111553 2651235 3004733 3519255 3654405 3878081 3988489 4716585 4850865 5345463 7953705 8909105 9014199 10557765 11634243 11965467 15023665 16036389 19390405 19942445 26727315 27042597 30290957 34902729 35896401 45070995 58171215 59827335 65927377 80181945 90872871 135212985 151454785 174513645 179482005 197782131 272618613 329636885 454364355 593346393 988910655 1120765409 1363093065 2966731965 3362296227 5603827045 10086888681 16811481135 50434443405