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2938081536 = 283213233421
BaseRepresentation
bin1010111100011111…
…1001000100000000
321120202112000011200
42233013321010000
522004122102121
61203313141200
7132544165245
oct25707710400
97522460150
102938081536
11127851a165
1269bb5a800
1337a9152b0
141dc2c95cc
15122e12a26
hexaf1f9100

2938081536 has 216 divisors, whose sum is σ = 9183761496. Its totient is φ = 898007040.

The previous prime is 2938081529. The next prime is 2938081537. The reversal of 2938081536 is 6351808392.

It is a happy number.

2938081536 is a `hidden beast` number, since 2 + 9 + 38 + 0 + 81 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290361600 + 2647719936 = 17040^2 + 51456^2 .

It is a super-2 number, since 2×29380815362 = 17264646224368238592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2938081491 and 2938081500.

It is not an unprimeable number, because it can be changed into a prime (2938081537) 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, 6978606 + ... + 6979026.

Almost surely, 22938081536 is an apocalyptic number.

2938081536 is a gapful number since it is divisible by the number (26) 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 2938081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591880748).

2938081536 is an abundant number, since it is smaller than the sum of its proper divisors (6245679960).

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

2938081536 is a wasteful number, since it uses less digits than its factorization.

2938081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

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

The square root of 2938081536 is about 54204.0730572897. The cubic root of 2938081536 is about 1432.2580810921.

The spelling of 2938081536 in words is "two billion, nine hundred thirty-eight million, eighty-one thousand, five hundred thirty-six".