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5061319488 = 263211537621
BaseRepresentation
bin1001011011010110…
…11001101101000000
3111001201202200002100
410231223121231000
540331144210423
62154121350400
7236265335331
oct45553315500
914051680070
105061319488
112167a8a275
12b93038400
1362877b304
143602a4288
151e951a343
hex12dad9b40

5061319488 has 84 divisors (see below), whose sum is σ = 14521845988. Its totient is φ = 1685422080.

The previous prime is 5061319481. The next prime is 5061319489. The reversal of 5061319488 is 8849131605.

5061319488 is a `hidden beast` number, since 506 + 131 + 9 + 4 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4255213824 + 806105664 = 65232^2 + 28392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061319481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660318 + ... + 667938.

Almost surely, 25061319488 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 5061319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260922994).

5061319488 is an abundant number, since it is smaller than the sum of its proper divisors (9460526500).

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

5061319488 is a wasteful number, since it uses less digits than its factorization.

5061319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5061319488 is about 71142.9510773907. The cubic root of 5061319488 is about 1716.9378868964.

The spelling of 5061319488 in words is "five billion, sixty-one million, three hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1153 2306 3459 4612 6918 7621 9224 10377 13836 15242 18448 20754 22863 27672 30484 36896 41508 45726 55344 60968 68589 73792 83016 91452 110688 121936 137178 166032 182904 221376 243872 274356 332064 365808 487744 548712 664128 731616 1097424 1463232 2194848 4389696 8787013 17574026 26361039 35148052 52722078 70296104 79083117 105444156 140592208 158166234 210888312 281184416 316332468 421776624 562368832 632664936 843553248 1265329872 1687106496 2530659744 5061319488