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4158742104 = 2332116018737
BaseRepresentation
bin1111011111100001…
…0101111001011000
3101201211101222200100
43313320111321120
532004114221404
61524400135400
7205025503356
oct36770257130
911654358610
104158742104
111844557550
12980907560
1351379175a
142b64767d6
1519517ed39
hexf7e15e58

4158742104 has 96 divisors (see below), whose sum is σ = 12309045840. Its totient is φ = 1257984000.

The previous prime is 4158742069. The next prime is 4158742117. The reversal of 4158742104 is 4012478514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 471624 + ... + 480360.

Almost surely, 24158742104 is an apocalyptic number.

4158742104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158742104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154522920).

4158742104 is an abundant number, since it is smaller than the sum of its proper divisors (8150303736).

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

4158742104 is a wasteful number, since it uses less digits than its factorization.

4158742104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4158742104 is about 64488.3098243395. The cubic root of 4158742104 is about 1608.1281827718.

The spelling of 4158742104 in words is "four billion, one hundred fifty-eight million, seven hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 601 792 1202 1803 2404 3606 4808 5409 6611 7212 8737 10818 13222 14424 17474 19833 21636 26211 26444 34948 39666 43272 52422 52888 59499 69896 78633 79332 96107 104844 118998 157266 158664 192214 209688 237996 288321 314532 384428 475992 576642 629064 768856 864963 1153284 1729926 2306568 3459852 5250937 6919704 10501874 15752811 21003748 31505622 42007496 47258433 57760307 63011244 94516866 115520614 126022488 173280921 189033732 231041228 346561842 378067464 462082456 519842763 693123684 1039685526 1386247368 2079371052 4158742104