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4058214216 = 2337316771151
BaseRepresentation
bin1111000111100011…
…0110111101001000
3101110211020122100020
43301320312331020
531302400323331
61510405340440
7202365152220
oct36170667510
911424218306
104058214216
1117a2835451
12953107720
134c89c48b4
142a6d89080
1518b423c96
hexf1e36f48

4058214216 has 128 divisors (see below), whose sum is σ = 11997020160. Its totient is φ = 1119456000.

The previous prime is 4058214203. The next prime is 4058214271. The reversal of 4058214216 is 6124128504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525241 + ... + 3526391.

It is an arithmetic number, because the mean of its divisors is an integer number (93726720).

Almost surely, 24058214216 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 4058214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998510080).

4058214216 is an abundant number, since it is smaller than the sum of its proper divisors (7938805944).

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

4058214216 is a wasteful number, since it uses less digits than its factorization.

4058214216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4058214216 is about 63704.1145923872. The cubic root of 4058214216 is about 1595.0647688770.

The spelling of 4058214216 in words is "four billion, fifty-eight million, two hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 677 744 868 1151 1302 1354 1736 2031 2302 2604 2708 3453 4062 4604 4739 5208 5416 6906 8057 8124 9208 9478 13812 14217 16114 16248 18956 20987 24171 27624 28434 32228 35681 37912 41974 48342 56868 62961 64456 71362 83948 96684 107043 113736 125922 142724 146909 167896 193368 214086 249767 251844 285448 293818 428172 440727 499534 503688 587636 749301 779227 856344 881454 999068 1175272 1498602 1558454 1762908 1998136 2337681 2997204 3116908 3525816 4675362 5454589 5994408 6233816 9350724 10909178 16363767 18701448 21818356 24156037 32727534 43636712 48312074 65455068 72468111 96624148 130910136 144936222 169092259 193248296 289872444 338184518 507276777 579744888 676369036 1014553554 1352738072 2029107108 4058214216