Search a number
-
+
54505951000 = 235376970879
BaseRepresentation
bin110010110000110011…
…101100111100011000
312012200121120012100221
4302300303230330120
51343112010413000
641012323405424
73636464640064
oct626063547430
9165617505327
1054505951000
11211302087a6
12a691b23874
1351a844b117
1428d0d48aa4
15164025b61a
hexcb0cecf18

54505951000 has 64 divisors (see below), whose sum is σ = 127711584000. Its totient is φ = 21773721600.

The previous prime is 54505950907. The next prime is 54505951043. The reversal of 54505951000 is 15950545.

54505951000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733561 + ... + 804439.

It is an arithmetic number, because the mean of its divisors is an integer number (1995493500).

Almost surely, 254505951000 is an apocalyptic number.

54505951000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54505951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63855792000).

54505951000 is an abundant number, since it is smaller than the sum of its proper divisors (73205633000).

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

54505951000 is a wasteful number, since it uses less digits than its factorization.

54505951000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71669 (or 71655 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 54505951000 in words is "fifty-four billion, five hundred five million, nine hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 769 1000 1538 3076 3845 6152 7690 15380 19225 30760 38450 70879 76900 96125 141758 153800 192250 283516 354395 384500 567032 708790 769000 1417580 1771975 2835160 3543950 7087900 8859875 14175800 17719750 35439500 54505951 70879000 109011902 218023804 272529755 436047608 545059510 1090119020 1362648775 2180238040 2725297550 5450595100 6813243875 10901190200 13626487750 27252975500 54505951000