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4134374946 = 234136732917
BaseRepresentation
bin1111011001101101…
…1000111000100010
3101200010120000020000
43312123120320202
531431344444241
61522130000430
7204311415162
oct36633307042
911603500200
104134374946
1118318240a9
12974716116
1350b70c610
142b31325a2
15192e69eb6
hexf66d8e22

4134374946 has 80 divisors (see below), whose sum is σ = 9994932024. Its totient is φ = 1269789696.

The previous prime is 4134374927. The next prime is 4134374969. The reversal of 4134374946 is 6494734314.

It can be written as a sum of positive squares in 4 ways, for example, as 3768609321 + 365765625 = 61389^2 + 19125^2 .

It is a super-2 number, since 2×41343749462 = 34186112388225005832, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1415880 + ... + 1418796.

Almost surely, 24134374946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134374946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997466012).

4134374946 is an abundant number, since it is smaller than the sum of its proper divisors (5860557078).

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

4134374946 is a wasteful number, since it uses less digits than its factorization.

4134374946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3608 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4134374946 is about 64299.1053281459. The cubic root of 4134374946 is about 1604.9812138599.

The spelling of 4134374946 in words is "four billion, one hundred thirty-four million, three hundred seventy-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 673 702 1053 1346 2019 2106 2917 4038 5834 6057 8749 8751 12114 17498 17502 18171 26247 26253 36342 37921 52494 52506 54513 75842 78741 78759 109026 113763 157482 157518 227526 236223 236277 341289 472446 472554 682578 708669 1023867 1417338 1963141 2047734 3071601 3926282 5889423 6143202 11778846 17668269 25520833 35336538 51041666 53004807 76562499 106009614 153124998 159014421 229687497 318028842 459374994 689062491 1378124982 2067187473 4134374946