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5019632640 = 210335113301
BaseRepresentation
bin1001010110011000…
…11000010000000000
3110221211022202111000
410223030120100000
540240011221030
62150032052000
7235251113331
oct45314302000
913854282430
105019632640
1121464a7330
12b81094000
1361cc43a39
14358932288
151e5a33860
hex12b318400

5019632640 has 352 divisors, whose sum is σ = 19466478720. Its totient is φ = 1216512000.

The previous prime is 5019632627. The next prime is 5019632641. The reversal of 5019632640 is 462369105.

It is a happy number.

5019632640 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 5019632595 and 5019632604.

It is not an unprimeable number, because it can be changed into a prime (5019632641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518990 + ... + 1522290.

Almost surely, 25019632640 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 5019632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733239360).

5019632640 is an abundant number, since it is smaller than the sum of its proper divisors (14446846080).

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

5019632640 is a wasteful number, since it uses less digits than its factorization.

5019632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5019632640 is about 70849.3658404929. The cubic root of 5019632640 is about 1712.2111132210.

The spelling of 5019632640 in words is "five billion, nineteen million, six hundred thirty-two thousand, six hundred forty".