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1018478745956 = 2271719405127799
BaseRepresentation
bin11101101001000100001…
…00000101100101100100
310121100212112102222111102
432310202010011211210
5113141321024332311
62055514354055232
7133403565333650
oct16644204054544
93540775388442
101018478745956
11362a30778271
1214547a57a518
137507174c049
143741a695a60
151b75db8a43b
hexed22105964

1018478745956 has 96 divisors (see below), whose sum is σ = 2270935296000. Its totient is φ = 389083046400.

The previous prime is 1018478745901. The next prime is 1018478745959. The reversal of 1018478745956 is 6595478748101.

It is a junction number, because it is equal to n+sod(n) for n = 1018478745892 and 1018478745901.

It is not an unprimeable number, because it can be changed into a prime (1018478745959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36623345 + ... + 36651143.

It is an arithmetic number, because the mean of its divisors is an integer number (23655576000).

Almost surely, 21018478745956 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 1018478745956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135467648000).

1018478745956 is an abundant number, since it is smaller than the sum of its proper divisors (1252456550044).

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

1018478745956 is a wasteful number, since it uses less digits than its factorization.

1018478745956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31897 (or 31895 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 65.

The spelling of 1018478745956 in words is "one trillion, eighteen billion, four hundred seventy-eight million, seven hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4051 4522 8102 9044 16204 27799 28357 55598 56714 68867 76969 111196 113428 137734 153938 194593 275468 307876 389186 472583 482069 528181 538783 778372 945166 964138 1056362 1077566 1308473 1890332 1928276 2112724 2155132 2616946 3308081 3697267 5233892 6616162 7394534 8979077 9159311 13232324 14789068 17958154 18318622 35916308 36637244 62853539 112613749 125707078 225227498 251414156 450454996 788296243 1576592486 1914433733 2139661231 3153184972 3828867466 4279322462 7657734932 8558644924 13401036131 14977628617 26802072262 29955257234 36374240927 53604144524 59910514468 72748481854 145496963708 254619686489 509239372978 1018478745956