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234436172004 = 22326512115889
BaseRepresentation
bin1101101001010101111…
…1000001100011100100
3211102010021000110211100
43122111133001203210
512320111130001004
6255410512440100
722636355403636
oct3322537014344
9742107013740
10234436172004
119047311a991
1239528249030
13191517a0608
14b4bd77ca56
15617177e739
hex36957c18e4

234436172004 has 18 divisors (see below), whose sum is σ = 592602545990. Its totient is φ = 78145390656.

The previous prime is 234436171997. The next prime is 234436172027. The reversal of 234436172004 is 400271634432.

234436172004 is a `hidden beast` number, since 2 + 3 + 4 + 436 + 17 + 200 + 4 = 666.

234436172004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 141503868900 + 92932303104 = 376170^2 + 304848^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6512115889 = 234436172004 / (2 + 3 + 4 + 4 + 3 + 6 + 1 + 7 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 234436172004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3256057909 + ... + 3256057980.

Almost surely, 2234436172004 is an apocalyptic number.

It is an amenable number.

234436172004 is an abundant number, since it is smaller than the sum of its proper divisors (358166373986).

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

234436172004 is a wasteful number, since it uses less digits than its factorization.

234436172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512115899 (or 6512115894 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 234436172004 in words is "two hundred thirty-four billion, four hundred thirty-six million, one hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 6512115889 13024231778 19536347667 26048463556 39072695334 58609043001 78145390668 117218086002 234436172004