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3668562464 = 257176471489
BaseRepresentation
bin1101101010101001…
…1101001000100000
3100110200001021121212
43122222131020200
530003122444324
61404010005252
7156624160250
oct33252351040
910420037555
103668562464
111612898306
12864716828
13466067528
1426b319960
1516710670e
hexdaa9d220

3668562464 has 96 divisors (see below), whose sum is σ = 8759197440. Its totient is φ = 1476476928.

The previous prime is 3668562451. The next prime is 3668562479. The reversal of 3668562464 is 4642658663.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463032 + ... + 2464520.

It is an arithmetic number, because the mean of its divisors is an integer number (91241640).

Almost surely, 23668562464 is an apocalyptic number.

3668562464 is a gapful number since it is divisible by the number (34) 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 3668562464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379598720).

3668562464 is an abundant number, since it is smaller than the sum of its proper divisors (5090634976).

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

3668562464 is a wasteful number, since it uses less digits than its factorization.

3668562464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2162 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The square root of 3668562464 is about 60568.6590903249. The cubic root of 3668562464 is about 1542.2873839900.

The spelling of 3668562464 in words is "three billion, six hundred sixty-eight million, five hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 647 952 1294 1489 1904 2588 2978 3808 4529 5176 5956 9058 10352 10423 10999 11912 18116 20704 20846 21998 23824 25313 36232 41692 43996 47648 50626 72464 76993 83384 87992 101252 144928 153986 166768 175984 177191 202504 307972 333536 351968 354382 405008 615944 708764 810016 963383 1231888 1417528 1926766 2463776 2835056 3853532 5670112 6743681 7707064 13487362 15414128 16377511 26974724 30828256 32755022 53949448 65510044 107898896 114642577 131020088 215797792 229285154 262040176 458570308 524080352 917140616 1834281232 3668562464