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4121667616 = 251160119483
BaseRepresentation
bin1111010110101011…
…1010100000100000
3101122020122102001011
43311222322200200
531420121330431
61520553350304
7204065411443
oct36552724040
911566572034
104121667616
111825634980
12970408394
13508bb06a1
142b158565a
15191ca9cb1
hexf5aba820

4121667616 has 48 divisors (see below), whose sum is σ = 8867402208. Its totient is φ = 1870272000.

The previous prime is 4121667611. The next prime is 4121667619. The reversal of 4121667616 is 6167661214.

It is not an unprimeable number, because it can be changed into a prime (4121667611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201811 + ... + 221293.

It is an arithmetic number, because the mean of its divisors is an integer number (184737546).

Almost surely, 24121667616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121667616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433701104).

4121667616 is an abundant number, since it is smaller than the sum of its proper divisors (4745734592).

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

4121667616 is a wasteful number, since it uses less digits than its factorization.

4121667616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105 (or 20097 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 4121667616 is about 64200.2150775214. The cubic root of 4121667616 is about 1603.3351805262.

The spelling of 4121667616 in words is "four billion, one hundred twenty-one million, six hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 601 1202 2404 4808 6611 9616 13222 19232 19483 26444 38966 52888 77932 105776 155864 211552 214313 311728 428626 623456 857252 1714504 3429008 6858016 11709283 23418566 46837132 93674264 128802113 187348528 257604226 374697056 515208452 1030416904 2060833808 4121667616