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6550034144 = 253112751991
BaseRepresentation
bin1100001100110100…
…11001011011100000
3121220111001012200012
412012122121123200
5101403302043034
63001541544052
7321213241313
oct60632313340
917814035605
106550034144
112861361665
121329715028
1380501b964
14461caa97a
15285085cce
hex1866996e0

6550034144 has 48 divisors (see below), whose sum is σ = 13416431616. Its totient is φ = 3144355200.

The previous prime is 6550034143. The next prime is 6550034147. The reversal of 6550034144 is 4414300556.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6550034144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6550034143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99989 + ... + 151979.

It is an arithmetic number, because the mean of its divisors is an integer number (279508992).

Almost surely, 26550034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6550034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708215808).

6550034144 is an abundant number, since it is smaller than the sum of its proper divisors (6866397472).

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

6550034144 is a wasteful number, since it uses less digits than its factorization.

6550034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52159 (or 52151 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 6550034144 is about 80932.2812232548. The cubic root of 6550034144 is about 1871.0318824747.

The spelling of 6550034144 in words is "six billion, five hundred fifty million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 127 248 254 496 508 992 1016 2032 3937 4064 7874 15748 31496 51991 62992 103982 125984 207964 415928 831856 1611721 1663712 3223442 6446884 6602857 12893768 13205714 25787536 26411428 51575072 52822856 105645712 204688567 211291424 409377134 818754268 1637508536 3275017072 6550034144