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5132800944 = 2432293121279
BaseRepresentation
bin1001100011111000…
…00101001110110000
3111020201021022012200
410301330011032300
541002444112234
62205153423200
7241124042145
oct46174051660
914221238180
105132800944
1121a4372357
12bb2b6ab00
1363a51822b
143699903cc
15200939d99
hex131f053b0

5132800944 has 180 divisors, whose sum is σ = 15366873600. Its totient is φ = 1597397760.

The previous prime is 5132800943. The next prime is 5132800949. The reversal of 5132800944 is 4490082315.

It is a super-2 number, since 2×51328009442 = 52691291061454582272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5132800899 and 5132800908.

It is not an unprimeable number, because it can be changed into a prime (5132800943) 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, 4012497 + ... + 4013775.

It is an arithmetic number, because the mean of its divisors is an integer number (85371520).

Almost surely, 25132800944 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 5132800944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683436800).

5132800944 is an abundant number, since it is smaller than the sum of its proper divisors (10234072656).

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

5132800944 is a wasteful number, since it uses less digits than its factorization.

5132800944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5132800944 is about 71643.5687553321. The cubic root of 5132800944 is about 1724.9829523205.

The spelling of 5132800944 in words is "five billion, one hundred thirty-two million, eight hundred thousand, nine hundred forty-four".