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4121676176 = 242331439823
BaseRepresentation
bin1111010110101011…
…1100100110010000
3101122020122211210012
43311222330212100
531420122114201
61520553454052
7204065445422
oct36552744620
911566584705
104121676176
111825640352
12970411328
13508bb4557
142b1588812
15191cac5bb
hexf5abc990

4121676176 has 80 divisors (see below), whose sum is σ = 8631828480. Its totient is φ = 1900990080.

The previous prime is 4121676157. The next prime is 4121676217. The reversal of 4121676176 is 6716761214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5007701 + ... + 5008523.

It is an arithmetic number, because the mean of its divisors is an integer number (107897856).

Almost surely, 24121676176 is an apocalyptic number.

4121676176 is a gapful number since it is divisible by the number (46) 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 4121676176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315914240).

4121676176 is an abundant number, since it is smaller than the sum of its proper divisors (4510152304).

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

4121676176 is a wasteful number, since it uses less digits than its factorization.

4121676176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 4121676176 is about 64200.2817439301. The cubic root of 4121676176 is about 1603.3362904766.

The spelling of 4121676176 in words is "four billion, one hundred twenty-one million, six hundred seventy-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 439 496 713 823 878 1426 1646 1756 2852 3292 3512 5704 6584 7024 10097 11408 13168 13609 18929 20194 25513 27218 37858 40388 51026 54436 75716 80776 102052 108872 151432 161552 204104 217744 302864 313007 361297 408208 586799 626014 722594 1173598 1252028 1445188 2347196 2504056 2890376 4694392 5008112 5780752 8309831 9388784 11200207 16619662 22400414 33239324 44800828 66478648 89601656 132957296 179203312 257604761 515209522 1030419044 2060838088 4121676176