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4158348804 = 2232318344893
BaseRepresentation
bin1111011111011011…
…0101111000000100
3101201210200000011200
43313312311320010
532004014130204
61524343502500
7205022244621
oct36766657004
911653600150
104158348804
111844309005
12980757a30
1351368472c
142b63b3348
15195103539
hexf7db5e04

4158348804 has 72 divisors (see below), whose sum is σ = 10981431552. Its totient is φ = 1325211840.

The previous prime is 4158348793. The next prime is 4158348809. The reversal of 4158348804 is 4088438514.

It is a self number, because there is not a number n which added to its sum of digits gives 4158348804.

It is not an unprimeable number, because it can be changed into a prime (4158348809) by changing a digit.

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, 70182 + ... + 115074.

Almost surely, 24158348804 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 4158348804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490715776).

4158348804 is an abundant number, since it is smaller than the sum of its proper divisors (6823082748).

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

4158348804 is a wasteful number, since it uses less digits than its factorization.

4158348804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45017 (or 45012 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4158348804 is about 64485.2603623495. The cubic root of 4158348804 is about 1608.0774866128.

The spelling of 4158348804 in words is "four billion, one hundred fifty-eight million, three hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 124 166 186 249 279 332 372 498 558 747 996 1116 1494 2573 2988 5146 7719 10292 15438 23157 30876 44893 46314 89786 92628 134679 179572 269358 404037 538716 808074 1391683 1616148 2783366 3726119 4175049 5566732 7452238 8350098 11178357 12525147 14904476 16700196 22356714 25050294 33535071 44713428 50100588 67070142 115509689 134140284 231019378 346529067 462038756 693058134 1039587201 1386116268 2079174402 4158348804