Search a number
-
+
55695384000 = 2633531941331
BaseRepresentation
bin110011110111101101…
…000001110111000000
312022202111200122201000
4303313231001313000
51403031004242000
641330333212000
74011116644554
oct636755016700
9168674618630
1055695384000
1121690657383
12a964331000
1353379b2929
1429a4cc7864
1516ae8ab000
hexcf7b41dc0

55695384000 has 896 divisors, whose sum is σ = 221006822400. Its totient is φ = 13685760000.

The previous prime is 55695383999. The next prime is 55695384001. The reversal of 55695384000 is 48359655.

55695384000 is a `hidden beast` number, since 5 + 569 + 5 + 3 + 84 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55695383999) and next prime (55695384001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55695384001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168263835 + ... + 168264165.

It is an arithmetic number, because the mean of its divisors is an integer number (246659400).

Almost surely, 255695384000 is an apocalyptic number.

55695384000 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 55695384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110503411200).

55695384000 is an abundant number, since it is smaller than the sum of its proper divisors (165311438400).

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

55695384000 is a wasteful number, since it uses less digits than its factorization.

55695384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55695384000 in words is "fifty-five billion, six hundred ninety-five million, three hundred eighty-four thousand".