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5049315664 = 24192929941
BaseRepresentation
bin1001011001111011…
…00111000101010000
3111000220011210221021
410230331213011100
540320111100124
62153012205224
7236061321631
oct45475470520
914026153837
105049315664
112161230658
12b8b009814
13626137663
1435c85b888
151e84487e4
hex12cf67150

5049315664 has 60 divisors (see below), whose sum is σ = 10347144660. Its totient is φ = 2386667520.

The previous prime is 5049315653. The next prime is 5049315701. The reversal of 5049315664 is 4665139405.

It can be written as a sum of positive squares in 2 ways, for example, as 1259682064 + 3789633600 = 35492^2 + 61560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5049315664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5365434 + ... + 5366374.

It is an arithmetic number, because the mean of its divisors is an integer number (172452411).

Almost surely, 25049315664 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 5049315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173572330).

5049315664 is an abundant number, since it is smaller than the sum of its proper divisors (5297828996).

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

5049315664 is a wasteful number, since it uses less digits than its factorization.

5049315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 5049315664 is about 71058.5368833330. The cubic root of 5049315664 is about 1715.5794707064.

The spelling of 5049315664 in words is "five billion, forty-nine million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 929 941 1444 1858 1882 2888 3716 3764 5776 7432 7528 14864 15056 17651 17879 35302 35758 70604 71516 141208 143032 282416 286064 335369 339701 670738 679402 874189 1341476 1358804 1748378 2682952 2717608 3496756 5365904 5435216 6993512 13987024 16609591 33219182 66438364 132876728 265753456 315582229 631164458 1262328916 2524657832 5049315664