Search a number
-
+
6105448445016 = 2335342209113717
BaseRepresentation
bin101100011011000100100…
…0101011111010001011000
3210121200020012101120121210
41120312021011133101120
51300012424300220031
620552445421103120
71200050463336054
oct130661105372130
923550205346553
106105448445016
111a44340529978
1282733a3b7aa0
133539838a20ab
141717106c6c64
15a8c3b6ab746
hex58d8915f458

6105448445016 has 64 divisors (see below), whose sum is σ = 15552119167200. Its totient is φ = 1996685570048.

The previous prime is 6105448445011. The next prime is 6105448445021.

6105448445016 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6105448445011) and next prime (6105448445021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105448445011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53632990 + ... + 53746706.

Almost surely, 26105448445016 is an apocalyptic number.

It is an amenable number.

6105448445016 is an abundant number, since it is smaller than the sum of its proper divisors (9446670722184).

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

6105448445016 is a wasteful number, since it uses less digits than its factorization.

6105448445016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155988 (or 155984 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 6105448445016 in words is "six trillion, one hundred five billion, four hundred forty-eight million, four hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 42209 84418 113717 126627 168836 227434 253254 337672 341151 454868 506508 682302 909736 1013016 1364604 2237077 2729208 4474154 6027001 6711231 8948308 12054002 13422462 17896616 18081003 24108004 26844924 36162006 48216008 53689848 72324012 144648024 4799880853 9599761706 14399642559 19199523412 28799285118 38399046824 57598570236 115197140472 254393685209 508787370418 763181055627 1017574740836 1526362111254 2035149481672 3052724222508 6105448445016