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4134362064 = 2437212713841
BaseRepresentation
bin1111011001101101…
…0101101111010000
3101200010112100112220
43312123111233100
531431344041224
61522125421040
7204311332500
oct36633255720
911603470486
104134362064
111831815458
1297470a780
1350b7067b1
142b312ba00
15192e66279
hexf66d5bd0

4134362064 has 120 divisors (see below), whose sum is σ = 12522912768. Its totient is φ = 1171860480.

The previous prime is 4134362051. The next prime is 4134362083. The reversal of 4134362064 is 4602634314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291784 + ... + 305624.

Almost surely, 24134362064 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 4134362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261456384).

4134362064 is an abundant number, since it is smaller than the sum of its proper divisors (8388550704).

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

4134362064 is a wasteful number, since it uses less digits than its factorization.

4134362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4134362064 is about 64299.0051556010. The cubic root of 4134362064 is about 1604.9795469099.

Adding to 4134362064 its reverse (4602634314), we get a palindrome (8736996378).

The spelling of 4134362064 in words is "four billion, one hundred thirty-four million, three hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 508 588 762 784 889 1016 1176 1524 1778 2032 2352 2667 3048 3556 5334 6096 6223 7112 10668 12446 13841 14224 18669 21336 24892 27682 37338 41523 42672 49784 55364 74676 83046 96887 99568 110728 149352 166092 193774 221456 290661 298704 332184 387548 581322 664368 678209 775096 1162644 1356418 1550192 1757807 2034627 2325288 2712836 3515614 4069254 4650576 5273421 5425672 7031228 8138508 10546842 10851344 12304649 14062456 16277016 21093684 24609298 28124912 32554032 36913947 42187368 49218596 73827894 84374736 86132543 98437192 147655788 172265086 196874384 258397629 295311576 344530172 516795258 590623152 689060344 1033590516 1378120688 2067181032 4134362064