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5014522656 = 25321121311069
BaseRepresentation
bin1001010101110001…
…11000101100100000
3110221110201010220100
410222320320230200
540232204211111
62145330342400
7235156511403
oct45270705440
913843633810
105014522656
112143627100
12b7b42aa00
1361bb74b90
14357da1d3a
151e5374756
hex12ae38b20

5014522656 has 216 divisors, whose sum is σ = 16881506460. Its totient is φ = 1402536960.

The previous prime is 5014522651. The next prime is 5014522661. The reversal of 5014522656 is 6562254105.

It is an interprime number because it is at equal distance from previous prime (5014522651) and next prime (5014522661).

It can be written as a sum of positive squares in 2 ways, for example, as 4132432656 + 882090000 = 64284^2 + 29700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5014522656.

It is not an unprimeable number, because it can be changed into a prime (5014522651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447490 + ... + 458558.

Almost surely, 25014522656 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 5014522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440753230).

5014522656 is an abundant number, since it is smaller than the sum of its proper divisors (11866983804).

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

5014522656 is a wasteful number, since it uses less digits than its factorization.

5014522656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5014522656 is about 70813.2943450592. The cubic root of 5014522656 is about 1711.6299058795.

The spelling of 5014522656 in words is "five billion, fourteen million, five hundred twenty-two thousand, six hundred fifty-six".