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6666112144 = 2429127113123
BaseRepresentation
bin1100011010101010…
…01100110010010000
3122012120110120202101
412031111030302100
5102123011042034
63021245530144
7324123006166
oct61525146220
918176416671
106666112144
11291093479a
121360573954
138230a1673
14473485236
15290364514
hex18d54cc90

6666112144 has 40 divisors (see below), whose sum is σ = 13466280960. Its totient is φ = 3192755328.

The previous prime is 6666112129. The next prime is 6666112157. The reversal of 6666112144 is 4412116666.

It is a super-2 number, since 2×66661121442 = 88874102232768553472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2367 + ... + 115489.

It is an arithmetic number, because the mean of its divisors is an integer number (336657024).

Almost surely, 26666112144 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 6666112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733140480).

6666112144 is an abundant number, since it is smaller than the sum of its proper divisors (6800168816).

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

6666112144 is a wasteful number, since it uses less digits than its factorization.

6666112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113287 (or 113281 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 6666112144 is about 81646.2622781962. The cubic root of 6666112144 is about 1882.0198737344.

The spelling of 6666112144 in words is "six billion, six hundred sixty-six million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 2032 3683 7366 14732 29464 58928 113123 226246 452492 904984 1809968 3280567 6561134 13122268 14366621 26244536 28733242 52489072 57466484 114932968 229865936 416632009 833264018 1666528036 3333056072 6666112144