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1018101712968 = 23321189132
BaseRepresentation
bin11101101000010111001…
…01110100100001001000
310121022220020222201110200
432310023211310201020
5113140033014303333
62055413125012200
7133361336526264
oct16641345644110
93538806881420
101018101712968
1136285796985a
12145394254060
13750115bc4c2
14373c258d0a4
151b73aa11c13
hexed0b974848

1018101712968 has 36 divisors (see below), whose sum is σ = 2757381994185. Its totient is φ = 339364383744.

The previous prime is 1018101712963. The next prime is 1018101713023. The reversal of 1018101712968 is 8692171018101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1018101712968 is a `hidden beast` number, since 10 + 181 + 0 + 171 + 296 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 716193223524 + 301908489444 = 846282^2 + 549462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=713478.

It is not an unprimeable number, because it can be changed into a prime (1018101712963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8502280 + ... + 8621192.

Almost surely, 21018101712968 is an apocalyptic number.

1018101712968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1018101712968 is an abundant number, since it is smaller than the sum of its proper divisors (1739280281217).

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

1018101712968 is an frugal number, since it uses more digits than its factorization.

1018101712968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237838 (or 118918 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 45.

The spelling of 1018101712968 in words is "one trillion, eighteen billion, one hundred one million, seven hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 118913 237826 356739 475652 713478 951304 1070217 1426956 2140434 2853912 4280868 8561736 14140301569 28280603138 42420904707 56561206276 84841809414 113122412552 127262714121 169683618828 254525428242 339367237656 509050856484 1018101712968