Search a number
-
+
7383085056 = 212321983127
BaseRepresentation
bin1101110000001000…
…01111000000000000
3201001112120120200200
412320010033000000
5110110032210211
63220341045200
7350650121214
oct67004170000
921045516620
107383085056
113149617096
1215206b6800
139087a43a9
1450079a944
152d328ab56
hex1b810f000

7383085056 has 312 divisors, whose sum is σ = 22898104320. Its totient is φ = 2285273088.

The previous prime is 7383085051. The next prime is 7383085069. The reversal of 7383085056 is 6505803837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7383085051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58134465 + ... + 58134591.

It is an arithmetic number, because the mean of its divisors is an integer number (73391360).

Almost surely, 27383085056 is an apocalyptic number.

7383085056 is a gapful number since it is divisible by the number (76) 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 7383085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11449052160).

7383085056 is an abundant number, since it is smaller than the sum of its proper divisors (15515019264).

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

7383085056 is a wasteful number, since it uses less digits than its factorization.

7383085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7383085056 is about 85924.8803083251. The cubic root of 7383085056 is about 1947.2092497266.

The spelling of 7383085056 in words is "seven billion, three hundred eighty-three million, eighty-five thousand, fifty-six".