Search a number
-
+
54541242300 = 2235219101211449
BaseRepresentation
bin110010110010111010…
…010100111110111100
312012210001222011221010
4302302322110332330
51343200024223200
641020024035220
73640403624136
oct626272247674
9165701864833
1054541242300
1121149122666
12a6a1902b10
1351b285664c
1428d58d4056
1516433cd150
hexcb2e94fbc

54541242300 has 288 divisors, whose sum is σ = 168926688000. Its totient is φ = 13547520000.

The previous prime is 54541242299. The next prime is 54541242317. The reversal of 54541242300 is 324214545.

It is a super-2 number, since 2×545412423002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121472476 + ... + 121472924.

It is an arithmetic number, because the mean of its divisors is an integer number (586551000).

Almost surely, 254541242300 is an apocalyptic number.

54541242300 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 54541242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84463344000).

54541242300 is an abundant number, since it is smaller than the sum of its proper divisors (114385445700).

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

54541242300 is a wasteful number, since it uses less digits than its factorization.

54541242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 54541242300 its reverse (324214545), we get a palindrome (54865456845).

The spelling of 54541242300 in words is "fifty-four billion, five hundred forty-one million, two hundred forty-two thousand, three hundred".