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3669723072 = 263215434129
BaseRepresentation
bin1101101010111011…
…1000011111000000
3100110202020020200100
43122232320133000
530003422114242
61404050522400
7156640063041
oct33256703700
910422206610
103669723072
111613510294
12864b96400
13466382892
1426b53c8c8
1516728554c
hexdabb87c0

3669723072 has 84 divisors (see below), whose sum is σ = 10527964720. Its totient is φ = 1222152192.

The previous prime is 3669723049. The next prime is 3669723097. The reversal of 3669723072 is 2703279663.

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 11 ways as a sum of consecutive naturals, for example, 886704 + ... + 890832.

Almost surely, 23669723072 is an apocalyptic number.

3669723072 is a gapful number since it is divisible by the number (32) 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 3669723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263982360).

3669723072 is an abundant number, since it is smaller than the sum of its proper divisors (6858241648).

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

3669723072 is a wasteful number, since it uses less digits than its factorization.

3669723072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3669723072 is about 60578.2392613057. The cubic root of 3669723072 is about 1542.4500092111.

The spelling of 3669723072 in words is "three billion, six hundred sixty-nine million, seven hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1543 3086 4129 4629 6172 8258 9258 12344 12387 13887 16516 18516 24688 24774 27774 33032 37032 37161 49376 49548 55548 66064 74064 74322 98752 99096 111096 132128 148128 148644 198192 222192 264256 296256 297288 396384 444384 594576 792768 888768 1189152 2378304 6371047 12742094 19113141 25484188 38226282 50968376 57339423 76452564 101936752 114678846 152905128 203873504 229357692 305810256 407747008 458715384 611620512 917430768 1223241024 1834861536 3669723072