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50144222244105 = 32511199115852531
BaseRepresentation
bin10110110011011000111001…
…00011011110110100001001
320120112202000001202100221100
423121230130203132310021
523033030331343302410
6254351534312332013
713363541400315033
oct1331543443366411
9216482001670840
1050144222244105
1114a83055221770
12575a3526a4009
1321c976cc7b662
14c54dc98bcc53
155be5763a68c0
hex2d9b1c8ded09

50144222244105 has 96 divisors (see below), whose sum is σ = 99918171924480. Its totient is φ = 23007465936000.

The previous prime is 50144222244073. The next prime is 50144222244107.

50144222244105 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 422 + 224 + 4 + 1 + 0 + 5 = 666.

50144222244105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 50144222244105 - 25 = 50144222244073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 50144222244105.

It is not an unprimeable number, because it can be changed into a prime (50144222244107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5641690 + ... + 11494220.

It is an arithmetic number, because the mean of its divisors is an integer number (1040814290880).

Almost surely, 250144222244105 is an apocalyptic number.

50144222244105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

50144222244105 is a deficient number, since it is larger than the sum of its proper divisors (49773949680375).

50144222244105 is a wasteful number, since it uses less digits than its factorization.

50144222244105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853483 (or 5853480 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 5014422 and 2244105, that added together give a palindrome (7258527).

The spelling of 50144222244105 in words is "fifty trillion, one hundred forty-four billion, two hundred twenty-two million, two hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 911 1045 1881 2733 3135 4555 8199 9405 10021 13665 17309 30063 40995 50105 51927 86545 90189 150315 155781 190399 259635 450945 571197 778905 951995 1713591 2855985 5852531 8567955 17557593 29262655 52672779 64377841 87787965 111198089 193133523 263363895 321889205 333594267 555990445 579400569 965667615 1000782801 1223178979 1667971335 2897002845 3669536937 5003914005 5331655741 6115894895 11008610811 15994967223 18347684685 26658278705 47984901669 55043054055 58648213151 79974836115 101301459079 175944639453 239924508345 293241065755 303904377237 506507295395 527833918359 879723197265 911713131711 1114316049869 1519521886185 2639169591795 3342948149607 4558565658555 5571580249345 10028844448821 16714740748035 50144222244105