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2942311616 = 262312715739
BaseRepresentation
bin1010111101100000…
…0001110011000000
321121001110220202022
42233120001303000
522011212432431
61203543541012
7132625143656
oct25730016300
97531426668
102942311616
11127a9492a2
126a145a768
1337b7667ba
141dcaaadd6
1512349b07b
hexaf601cc0

2942311616 has 56 divisors (see below), whose sum is σ = 6140866560. Its totient is φ = 1396023552.

The previous prime is 2942311597. The next prime is 2942311621. The reversal of 2942311616 is 6161132492.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179075 + ... + 194813.

Almost surely, 22942311616 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 2942311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070433280).

2942311616 is an abundant number, since it is smaller than the sum of its proper divisors (3198554944).

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

2942311616 is a wasteful number, since it uses less digits than its factorization.

2942311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15891 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 2942311616 is about 54243.0789686574. The cubic root of 2942311616 is about 1432.9451122859.

The spelling of 2942311616 in words is "two billion, nine hundred forty-two million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 184 254 368 508 736 1016 1472 2032 2921 4064 5842 8128 11684 15739 23368 31478 46736 62956 93472 125912 186944 251824 361997 503648 723994 1007296 1447988 1998853 2895976 3997706 5791952 7995412 11583904 15990824 23167808 31981648 45973619 63963296 91947238 127926592 183894476 367788952 735577904 1471155808 2942311616