Search a number
-
+
55735040740 = 22531269334183
BaseRepresentation
bin110011111010000100…
…010011101011100100
312022212021022102112011
4303322010103223210
51403121132300430
641334311204004
74012111013101
oct637204235344
9168767272464
1055735040740
1121700a83045
12a975676604
135342c89162
1429aa28baa8
1516b30e122a
hexcfa113ae4

55735040740 has 48 divisors (see below), whose sum is σ = 121268689920. Its totient is φ = 21494586240.

The previous prime is 55735040659. The next prime is 55735040749. The reversal of 55735040740 is 4704053755.

55735040740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55735040693 and 55735040702.

It is not an unprimeable number, because it can be changed into a prime (55735040749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312 + ... + 333871.

It is an arithmetic number, because the mean of its divisors is an integer number (2526431040).

Almost surely, 255735040740 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 55735040740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60634344960).

55735040740 is an abundant number, since it is smaller than the sum of its proper divisors (65533649180).

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

55735040740 is a wasteful number, since it uses less digits than its factorization.

55735040740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334492 (or 334490 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 40.

The spelling of 55735040740 in words is "fifty-five billion, seven hundred thirty-five million, forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 269 310 538 620 1076 1345 2690 5380 8339 16678 33356 41695 83390 166780 334183 668366 1336732 1670915 3341830 6683660 10359673 20719346 41438692 51798365 89895227 103596730 179790454 207193460 359580908 449476135 898952270 1797904540 2786752037 5573504074 11147008148 13933760185 27867520370 55735040740