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18008668356 = 22372294632281
BaseRepresentation
bin10000110001011001…
…100111100011000100
31201111001111010202220
4100301121213203010
5243340204341411
612134552132340
71205162104200
oct206131474304
951431433686
1018008668356
117701473098
1235a70970b0
13190cc76ca3
14c2ba45b00
1570601bb06
hex4316678c4

18008668356 has 144 divisors (see below), whose sum is σ = 50697642240. Its totient is φ = 4955005440.

The previous prime is 18008668339. The next prime is 18008668357. The reversal of 18008668356 is 65386680081.

It is a junction number, because it is equal to n+sod(n) for n = 18008668299 and 18008668308.

It is not an unprimeable number, because it can be changed into a prime (18008668357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7893936 + ... + 7896216.

It is an arithmetic number, because the mean of its divisors is an integer number (352066960).

Almost surely, 218008668356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18008668356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25348821120).

18008668356 is an abundant number, since it is smaller than the sum of its proper divisors (32688973884).

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

18008668356 is a wasteful number, since it uses less digits than its factorization.

18008668356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 18008668356 in words is "eighteen billion, eight million, six hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 463 588 609 812 926 1218 1389 1421 1852 2281 2436 2778 2842 3241 4263 4562 5556 5684 6482 6843 8526 9124 9723 12964 13427 13686 15967 17052 19446 22687 26854 27372 31934 38892 40281 45374 47901 53708 63868 66149 68061 80562 90748 93989 95802 111769 132298 136122 161124 187978 191604 198447 223538 264596 272244 281967 335307 375956 396894 447076 463043 563934 657923 670614 793788 926086 1056103 1127868 1315846 1341228 1389129 1852172 1973769 2112206 2631692 2778258 3168309 3241301 3947538 4224412 5556516 6336618 6482602 7392721 7895076 9723903 12673236 12965204 14785442 19447806 22178163 29570884 30626987 38895612 44356326 51749047 61253974 88712652 91880961 103498094 122507948 155247141 183761922 206996188 214388909 310494282 367523844 428777818 620988564 643166727 857555636 1286333454 1500722363 2572666908 3001444726 4502167089 6002889452 9004334178 18008668356