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6145741247148 = 2232320353298481
BaseRepresentation
bin101100101101110101010…
…1110010101001010101100
3210202112020021102000010200
41121123222232111022230
51301142434224402043
621023151535433500
71203005124450306
oct131335256251254
923675207360120
106145741247148
111a5a437795548
12833104385890
13357705502149
14173653b12976
15a9ce8c2e7d3
hex596eab952ac

6145741247148 has 36 divisors (see below), whose sum is σ = 15539918605848. Its totient is φ = 2047940795520.

The previous prime is 6145741247131. The next prime is 6145741247189. The reversal of 6145741247148 is 8417421475416.

6145741247148 is a `hidden beast` number, since 6 + 1 + 4 + 574 + 1 + 24 + 7 + 1 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 6145741247094 and 6145741247103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26533933 + ... + 26764548.

It is an arithmetic number, because the mean of its divisors is an integer number (431664405718).

Almost surely, 26145741247148 is an apocalyptic number.

It is an amenable number.

6145741247148 is an abundant number, since it is smaller than the sum of its proper divisors (9394177358700).

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

6145741247148 is a wasteful number, since it uses less digits than its factorization.

6145741247148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53301694 (or 53301689 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 6145741247148 in words is "six trillion, one hundred forty-five billion, seven hundred forty-one million, two hundred forty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3203 6406 9609 12812 19218 28827 38436 57654 115308 53298481 106596962 159895443 213193924 319790886 479686329 639581772 959372658 1918745316 170715034643 341430069286 512145103929 682860138572 1024290207858 1536435311787 2048580415716 3072870623574 6145741247148