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3668765436 = 22327219110889
BaseRepresentation
bin1101101010101100…
…1110101011111100
3100110200102121001100
43122223032223330
530003200443221
61404014213100
7156625664100
oct33253165374
910420377040
103668765436
111612a16856
128647b4190
13466108a2b
1426b36d900
15167146926
hexdaaceafc

3668765436 has 108 divisors (see below), whose sum is σ = 10845394560. Its totient is φ = 1042634880.

The previous prime is 3668765407. The next prime is 3668765473. The reversal of 3668765436 is 6345678663.

3668765436 is a `hidden beast` number, since 36 + 68 + 7 + 6 + 543 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331480 + ... + 342368.

It is an arithmetic number, because the mean of its divisors is an integer number (100420320).

Almost surely, 23668765436 is an apocalyptic number.

3668765436 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 3668765436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422697280).

3668765436 is an abundant number, since it is smaller than the sum of its proper divisors (7176629124).

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

3668765436 is a wasteful number, since it uses less digits than its factorization.

3668765436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11092 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 3668765436 is about 60570.3346201752. The cubic root of 3668765436 is about 1542.3158270459.

The spelling of 3668765436 in words is "three billion, six hundred sixty-eight million, seven hundred sixty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 191 196 252 294 382 441 573 588 764 882 1146 1337 1719 1764 2292 2674 3438 4011 5348 6876 8022 9359 10889 12033 16044 18718 21778 24066 28077 32667 37436 43556 48132 56154 65334 76223 84231 98001 112308 130668 152446 168462 196002 228669 304892 336924 392004 457338 533561 686007 914676 1067122 1372014 1600683 2079799 2134244 2744028 3201366 4159598 4802049 6239397 6402732 8319196 9604098 12478794 14558593 18718191 19208196 24957588 29117186 37436382 43675779 58234372 74872764 87351558 101910151 131027337 174703116 203820302 262054674 305730453 407640604 524109348 611460906 917191359 1222921812 1834382718 3668765436