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5154581310144 = 26373835253951
BaseRepresentation
bin100101100000010010011…
…1111001110101011000000
3200020202212122010022100020
41023000210333032223000
51133423040303411034
614543552034253440
71041256221134550
oct113004477165300
920222778108306
105154581310144
111708055851842
126b2baaa27280
132b50c8818a16
1413b6a976b160
158e138601249
hex4b024fceac0

5154581310144 has 56 divisors (see below), whose sum is σ = 15586472060928. Its totient is φ = 1472737516800.

The previous prime is 5154581310139. The next prime is 5154581310163. The reversal of 5154581310144 is 4410131854515.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5154581310096 and 5154581310105.

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 7 ways as a sum of consecutive naturals, for example, 1917625632 + ... + 1917628319.

Almost surely, 25154581310144 is an apocalyptic number.

It is an amenable number.

5154581310144 is an abundant number, since it is smaller than the sum of its proper divisors (10431890750784).

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

5154581310144 is a wasteful number, since it uses less digits than its factorization.

5154581310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835253973 (or 3835253963 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 5154581310144 in words is "five trillion, one hundred fifty-four billion, five hundred eighty-one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3835253951 7670507902 11505761853 15341015804 23011523706 26846777657 30682031608 46023047412 53693555314 61364063216 80540332971 92046094824 107387110628 122728126432 161080665942 184092189648 214774221256 245456252864 322161331884 368184379296 429548442512 644322663768 736368758592 859096885024 1288645327536 1718193770048 2577290655072 5154581310144