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3668622048 = 2532713139981
BaseRepresentation
bin1101101010101010…
…1011101011100000
3100110200011022100200
43122222223223200
530003131401143
61404011145200
7156624526050
oct33252535340
910420138320
103668622048
111612929053
12864745200
134660886a0
1426b333560
151671191d3
hexdaaabae0

3668622048 has 144 divisors (see below), whose sum is σ = 12840268896. Its totient is φ = 967541760.

The previous prime is 3668622029. The next prime is 3668622073. The reversal of 3668622048 is 8402268663.

3668622048 is a `hidden beast` number, since 366 + 86 + 2 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3668621994 and 3668622012.

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 23 ways as a sum of consecutive naturals, for example, 43783 + ... + 96198.

It is an arithmetic number, because the mean of its divisors is an integer number (89168534).

Almost surely, 23668622048 is an apocalyptic number.

It is an amenable number.

3668622048 is an abundant number, since it is smaller than the sum of its proper divisors (9171646848).

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

3668622048 is a wasteful number, since it uses less digits than its factorization.

3668622048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140017 (or 140006 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3668622048 is about 60569.1509598740. The cubic root of 3668622048 is about 1542.2957337778.

The spelling of 3668622048 in words is "three billion, six hundred sixty-eight million, six hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 139981 279962 419943 559924 839886 979867 1119848 1259829 1679772 1819753 1959734 2239696 2519658 2939601 3359544 3639506 3919468 4479392 5039316 5459259 5879202 6719088 7279012 7838936 8818803 10078632 10918518 11758404 12738271 13438176 14558024 15677872 16377777 17637606 20157264 21837036 23516808 25476542 29116048 31355744 32755554 35275212 38214813 40314528 43674072 47033616 50953084 58232096 65511108 70550424 76429626 87348144 94067232 101906168 114644439 131022216 141100848 152859252 174696288 203812336 229288878 262044432 282201696 305718504 407624672 458577756 524088864 611437008 917155512 1222874016 1834311024 3668622048