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6144000018742 = 259385313513573
BaseRepresentation
bin101100101101000001011…
…1100000100100100110110
3210202100201220222102210201
41121122002330010210312
51301130403001044432
621022303055111114
71202614022322535
oct131320274044466
923670656872721
106144000018742
111a59723922903
128328b921249a
133574b884bb91
1417352a77831c
15a9c45e34ee7
hex59682f04936

6144000018742 has 16 divisors (see below), whose sum is σ = 9374636555280. Its totient is φ = 3019148201952.

The previous prime is 6144000018727. The next prime is 6144000018743. The reversal of 6144000018742 is 2478100004416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144000018743) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6302133 + ... + 7211440.

It is an arithmetic number, because the mean of its divisors is an integer number (585914784705).

Almost surely, 26144000018742 is an apocalyptic number.

6144000018742 is a deficient number, since it is larger than the sum of its proper divisors (3230636536538).

6144000018742 is a wasteful number, since it uses less digits than its factorization.

6144000018742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517487.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 6144000018742 in words is "six trillion, one hundred forty-four billion, eighteen thousand, seven hundred forty-two".

Divisors: 1 2 59 118 3853 7706 227327 454654 13513573 27027146 797300807 1594601614 52067796769 104135593538 3072000009371 6144000018742