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3668522436 = 2232731738069
BaseRepresentation
bin1101101010101001…
…0011010111000100
3100110122222020201100
43122222103113010
530003120204221
61404005100100
7156623632455
oct33252232704
910418866640
103668522436
111612870227
128646b7630
13466052247
1426b30912c
151670e9926
hexdaa935c4

3668522436 has 72 divisors (see below), whose sum is σ = 9455748120. Its totient is φ = 1198969344.

The previous prime is 3668522419. The next prime is 3668522479. The reversal of 3668522436 is 6342258663.

It is a happy number.

3668522436 is a `hidden beast` number, since 36 + 68 + 522 + 4 + 36 = 666.

3668522436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 315417600 + 3353104836 = 17760^2 + 57906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3668522391 and 3668522400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450610 + ... + 458678.

It is an arithmetic number, because the mean of its divisors is an integer number (131329835).

Almost surely, 23668522436 is an apocalyptic number.

3668522436 is a gapful number since it is divisible by the number (36) 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 3668522436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727874060).

3668522436 is an abundant number, since it is smaller than the sum of its proper divisors (5787225684).

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

3668522436 is a wasteful number, since it uses less digits than its factorization.

3668522436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8320 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3668522436 is about 60568.3286545039. The cubic root of 3668522436 is about 1542.2817746263.

The spelling of 3668522436 in words is "three billion, six hundred sixty-eight million, five hundred twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 173 219 292 346 438 519 657 692 876 1038 1314 1557 2076 2628 3114 6228 8069 12629 16138 24207 25258 32276 37887 48414 50516 72621 75774 96828 113661 145242 151548 227322 290484 454644 589037 1178074 1395937 1767111 2356148 2791874 3534222 4187811 5301333 5583748 7068444 8375622 10602666 12563433 16751244 21205332 25126866 50253732 101903401 203806802 305710203 407613604 611420406 917130609 1222840812 1834261218 3668522436