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164023461144 = 23327331206899
BaseRepresentation
bin1001100011000010001…
…1110110010100011000
3120200101002002011002100
42120300203312110120
510141410001224034
6203203520003400
714564440262424
oct2306043662430
9520332064070
10164023461144
116361aa71064
1227957160560
131260c9b3c6a
147d20013b84
1543eece9099
hex26308f6518

164023461144 has 48 divisors (see below), whose sum is σ = 450315567000. Its totient is φ = 53925519744.

The previous prime is 164023461131. The next prime is 164023461179. The reversal of 164023461144 is 441164320461.

164023461144 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 2 + 34 + 611 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164023461099 and 164023461108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15598194 + ... + 15608705.

Almost surely, 2164023461144 is an apocalyptic number.

It is an amenable number.

164023461144 is an abundant number, since it is smaller than the sum of its proper divisors (286292105856).

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

164023461144 is a wasteful number, since it uses less digits than its factorization.

164023461144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31206984 (or 31206977 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 164023461144 in words is "one hundred sixty-four billion, twenty-three million, four hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 31206899 62413798 93620697 124827596 187241394 249655192 280862091 374482788 561724182 748965576 1123448364 2246896728 2278103627 4556207254 6834310881 9112414508 13668621762 18224829016 20502932643 27337243524 41005865286 54674487048 82011730572 164023461144