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3416116986 = 23217338629
BaseRepresentation
bin1100101110011101…
…1100111011111010
322211002000201112100
43023213130323322
523444011220421
61322551124230
7150440341512
oct31347347372
98732021470
103416116986
1114a3344287
127b4073676
134259799c9
142459a4842
1514ed8cc26
hexcb9dcefa

3416116986 has 48 divisors (see below), whose sum is σ = 7864295400. Its totient is φ = 1071695232.

The previous prime is 3416116967. The next prime is 3416117063. The reversal of 3416116986 is 6896116143.

It can be written as a sum of positive squares in 4 ways, for example, as 2158067025 + 1258049961 = 46455^2 + 35469^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69120 + ... + 107748.

Almost surely, 23416116986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416116986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932147700).

3416116986 is an abundant number, since it is smaller than the sum of its proper divisors (4448178414).

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

3416116986 is a wasteful number, since it uses less digits than its factorization.

3416116986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38688 (or 38651 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3416116986 is about 58447.5575708686. The cubic root of 3416116986 is about 1506.0668345973.

The spelling of 3416116986 in words is "three billion, four hundred sixteen million, one hundred sixteen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 4913 5202 9826 14739 29478 38629 44217 77258 88434 115887 231774 347661 656693 695322 1313386 1970079 3940158 5910237 11163781 11820474 22327562 33491343 66982686 100474029 189784277 200948058 379568554 569352831 1138705662 1708058493 3416116986