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6111416141116 = 22111310684293953
BaseRepresentation
bin101100011101110110011…
…0010011100010100111100
3210122020122002122221200021
41120323230302130110330
51300112140013003431
620555313521341524
71200351406042006
oct130735462342474
923566562587607
106111416141116
111a469230a6320
12828524a978a4
133543c506a310
14171b190c7376
15a8e8a562b11
hex58eecc9c53c

6111416141116 has 24 divisors (see below), whose sum is σ = 12564729689904. Its totient is φ = 2564230548480.

The previous prime is 6111416141107. The next prime is 6111416141143.

6111416141116 is nontrivially palindromic in base 10.

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, 5342146405 + ... + 5342147548.

It is an arithmetic number, because the mean of its divisors is an integer number (523530403746).

Almost surely, 26111416141116 is an apocalyptic number.

It is an amenable number.

6111416141116 is an abundant number, since it is smaller than the sum of its proper divisors (6453313548788).

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

6111416141116 is a wasteful number, since it uses less digits than its factorization.

6111416141116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684293981 (or 10684293979 counting only the distinct ones).

The product of its digits is 3456, while the sum is 34.

The spelling of 6111416141116 in words is "six trillion, one hundred eleven billion, four hundred sixteen million, one hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 10684293953 21368587906 42737175812 117527233483 138895821389 235054466966 277791642778 470108933932 555583285556 1527854035279 3055708070558 6111416141116