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6669008896 = 216112292
BaseRepresentation
bin1100011011000000…
…10000000000000000
3122012202220202100111
412031200100000000
5102124231241041
63021432001104
7324156432424
oct61540200000
918182822314
106669008896
112912533100
121361530194
13823877014
144739dab84
15290737981
hex18d810000

6669008896 has 153 divisors (see below), whose sum is σ = 15183657853. Its totient is φ = 2926837760.

The previous prime is 6669008849. The next prime is 6669008903. The reversal of 6669008896 is 6988009666.

The square root of 6669008896 is 81664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3497066496 + 3171942400 = 59136^2 + 56320^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6669008896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229965810 + ... + 229965838.

Almost surely, 26669008896 is an apocalyptic number.

6669008896 is the 81664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6669008896

6669008896 is an abundant number, since it is smaller than the sum of its proper divisors (8514648957).

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

6669008896 is an frugal number, since it uses more digits than its factorization.

6669008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The cubic root of 6669008896 is about 1882.2924441734.

The spelling of 6669008896 in words is "six billion, six hundred sixty-nine million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 128 176 232 242 256 319 352 464 484 512 638 704 841 928 968 1024 1276 1408 1682 1856 1936 2048 2552 2816 3364 3509 3712 3872 4096 5104 5632 6728 7018 7424 7744 8192 9251 10208 11264 13456 14036 14848 15488 16384 18502 20416 22528 26912 28072 29696 30976 32768 37004 40832 45056 53824 56144 59392 61952 65536 74008 81664 90112 101761 107648 112288 118784 123904 148016 163328 180224 203522 215296 224576 237568 247808 296032 326656 360448 407044 430592 449152 475136 495616 592064 653312 720896 814088 861184 898304 950272 991232 1184128 1306624 1628176 1722368 1796608 1900544 1982464 2368256 2613248 3256352 3444736 3593216 3964928 4736512 5226496 6512704 6889472 7186432 7929856 9473024 10452992 13025408 13778944 14372864 18946048 20905984 26050816 27557888 28745728 37892096 52101632 55115776 57491456 75784192 104203264 114982912 151568384 208406528 229965824 303136768 416813056 606273536 833626112 1667252224 3334504448 6669008896