Search a number
-
+
55399722723800 = 2352741321923161
BaseRepresentation
bin11001001100010110000001…
…10010110010100111011000
321021011011100221002200002222
430212023000302302213120
524230132113004130200
6313454140431043212
714445332526320000
oct1446130062624730
9237134327080088
1055399722723800
1116719988234264
126268a07070508
1324bb22c852900
14d9750a3b7000
15661119758d85
hex3262c0cb29d8

55399722723800 has 2160 divisors, whose sum is σ = 180170546114880. Its totient is φ = 15810971904000.

The previous prime is 55399722723721. The next prime is 55399722723841. The reversal of 55399722723800 is 832722799355.

It is a happy number.

It is a Cunningham number, because it is equal to 74430992-1.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 55399722723800 = 53133 + 380873 = 250323 + 341183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 908192175770 + ... + 908192175830.

It is an arithmetic number, because the mean of its divisors is an integer number (83412289868).

Almost surely, 255399722723800 is an apocalyptic number.

55399722723800 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 55399722723800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90085273057440).

55399722723800 is an abundant number, since it is smaller than the sum of its proper divisors (124770823391080).

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

55399722723800 is a wasteful number, since it uses less digits than its factorization.

55399722723800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 55399722723800 in words is "fifty-five trillion, three hundred ninety-nine billion, seven hundred twenty-two million, seven hundred twenty-three thousand, eight hundred".