Search a number
-
+
6116631540 = 2235711435829
BaseRepresentation
bin1011011001001010…
…00110001111110100
3120210021112002001220
411230211012033310
5100011324202130
62450540350340
7304401340005
oct55445061764
916707462056
106116631540
112659751898
1212285453b0
137662b3706
144204cd1ac
1525bec5410
hex16c9463f4

6116631540 has 48 divisors (see below), whose sum is σ = 17367799680. Its totient is φ = 1608127360.

The previous prime is 6116631511. The next prime is 6116631551. The reversal of 6116631540 is 451366116.

It is a super-2 number, since 2×61166315402 = 74826362792245543200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713655 + ... + 722174.

It is an arithmetic number, because the mean of its divisors is an integer number (361829160).

Almost surely, 26116631540 is an apocalyptic number.

6116631540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6116631540 is an abundant number, since it is smaller than the sum of its proper divisors (11251168140).

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

6116631540 is a wasteful number, since it uses less digits than its factorization.

6116631540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435912 (or 1435910 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6116631540 is about 78208.8968084834. The cubic root of 6116631540 is about 1828.8192030260.

Adding to 6116631540 its reverse (451366116), we get a palindrome (6567997656).

The spelling of 6116631540 in words is "six billion, one hundred sixteen million, six hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 1435829 2871658 4307487 5743316 7179145 8614974 14358290 17229948 21537435 28716580 43074870 86149740 101943859 203887718 305831577 407775436 509719295 611663154 1019438590 1223326308 1529157885 2038877180 3058315770 6116631540