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4995060048 = 243411253601
BaseRepresentation
bin1001010011011101…
…01001000101010000
3110220010002100020000
410221232221011100
540212213410143
62143353250000
7234532211166
oct45156510520
913803070200
104995060048
112133643600
12b74a03900
13617b1c244
14355577236
151e37ccbd3
hex129ba9150

4995060048 has 300 divisors, whose sum is σ = 16217688564. Its totient is φ = 1482624000.

The previous prime is 4995060047. The next prime is 4995060061. The reversal of 4995060048 is 8400605994.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3914754624 + 1080305424 = 62568^2 + 32868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4995059985 and 4995060012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4995060047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8310948 + ... + 8311548.

Almost surely, 24995060048 is an apocalyptic number.

4995060048 is a gapful number since it is divisible by the number (48) 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 4995060048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108844282).

4995060048 is an abundant number, since it is smaller than the sum of its proper divisors (11222628516).

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

4995060048 is a wasteful number, since it uses less digits than its factorization.

4995060048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4995060048 is about 70675.7387510028. The cubic root of 4995060048 is about 1709.4126145072.

The spelling of 4995060048 in words is "four billion, nine hundred ninety-five million, sixty thousand, forty-eight".