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6144048404416 = 26137384673563
BaseRepresentation
bin101100101101000010111…
…0100101001011111000000
3210202100212022000200110201
41121122011310221133000
51301131002342420131
621022311544134544
71202615150514616
oct131320564513700
923670768020421
106144048404416
111a5974917076a
12832911467454
133574c5890560
14173532d716b6
15a9c4a2e1761
hex59685d297c0

6144048404416 has 28 divisors (see below), whose sum is σ = 13129949596792. Its totient is φ = 2835714647808.

The previous prime is 6144048404399. The next prime is 6144048404437.

6144048404416 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3692335950 + ... + 3692337613.

It is an arithmetic number, because the mean of its divisors is an integer number (468926771314).

Almost surely, 26144048404416 is an apocalyptic number.

It is an amenable number.

6144048404416 is an abundant number, since it is smaller than the sum of its proper divisors (6985901192376).

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

6144048404416 is a wasteful number, since it uses less digits than its factorization.

6144048404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384673588 (or 7384673578 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The spelling of 6144048404416 in words is "six trillion, one hundred forty-four billion, forty-eight million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 7384673563 14769347126 29538694252 59077388504 96000756319 118154777008 192001512638 236309554016 384003025276 472619108032 768006050552 1536012101104 3072024202208 6144048404416