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4113632152 = 237435573067
BaseRepresentation
bin1111010100110001…
…0000101110011000
3101121200112011110101
43311030100232120
531411042212102
61520105225144
7203640203440
oct36514205630
911550464411
104113632152
1118210467a3
129697921b4
13507329086
142b0493120
1519121de87
hexf5310b98

4113632152 has 64 divisors (see below), whose sum is σ = 9039064320. Its totient is φ = 1718333568.

The previous prime is 4113632129. The next prime is 4113632177. The reversal of 4113632152 is 2512363114.

It is a super-2 number, since 2×41136321522 = 33843938963936302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4113632152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1339723 + ... + 1342789.

It is an arithmetic number, because the mean of its divisors is an integer number (141235380).

Almost surely, 24113632152 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 4113632152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519532160).

4113632152 is an abundant number, since it is smaller than the sum of its proper divisors (4925432168).

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

4113632152 is a wasteful number, since it uses less digits than its factorization.

4113632152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3676 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 4113632152 is about 64137.6032604899. The cubic root of 4113632152 is about 1602.2925666424.

Adding to 4113632152 its reverse (2512363114), we get a palindrome (6625995266).

The spelling of 4113632152 in words is "four billion, one hundred thirteen million, six hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 557 602 1114 1204 2228 2408 3067 3899 4456 6134 7798 12268 15596 21469 23951 24536 31192 42938 47902 85876 95804 131881 167657 171752 191608 263762 335314 527524 670628 923167 1055048 1341256 1708319 1846334 3416638 3692668 6833276 7385336 11958233 13666552 23916466 47832932 73457717 95665864 146915434 293830868 514204019 587661736 1028408038 2056816076 4113632152