Search a number
-
+
55511744640 = 2735113184787
BaseRepresentation
bin110011101100110000…
…100000000010000000
312022021201010210212020
4303230300200002000
51402142001312030
641300213201440
74003430021052
oct635460400200
9168251123766
1055511744640
11215a6a29410
12a912930280
1353089363a1
1429887638d2
15169d6d4510
hexcecc20080

55511744640 has 256 divisors, whose sum is σ = 199258583040. Its totient is φ = 13023129600.

The previous prime is 55511744627. The next prime is 55511744653. The reversal of 55511744640 is 4644711555.

It is an interprime number because it is at equal distance from previous prime (55511744627) and next prime (55511744653).

It is a junction number, because it is equal to n+sod(n) for n = 55511744592 and 55511744601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612327 + ... + 697113.

It is an arithmetic number, because the mean of its divisors is an integer number (778353840).

Almost surely, 255511744640 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 55511744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99629291520).

55511744640 is an abundant number, since it is smaller than the sum of its proper divisors (143746838400).

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

55511744640 is a wasteful number, since it uses less digits than its factorization.

55511744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84851 (or 84839 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 55511744640 in words is "fifty-five billion, five hundred eleven million, seven hundred forty-four thousand, six hundred forty".