Search a number
-
+
5200065464 = 2311193179811
BaseRepresentation
bin1001101011111001…
…01011001110111000
3111102101211200210012
410311330223032320
541122204043324
62215555241052
7242601553466
oct46574531670
914371750705
105200065464
112229335170
1210115a9188
1364b439919
1437489d836
152067c520e
hex135f2b3b8

5200065464 has 64 divisors (see below), whose sum is σ = 11232777600. Its totient is φ = 2231971200.

The previous prime is 5200065461. The next prime is 5200065499. The reversal of 5200065464 is 4645600025.

It is a self number, because there is not a number n which added to its sum of digits gives 5200065464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200065461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525119 + ... + 534929.

It is an arithmetic number, because the mean of its divisors is an integer number (175512150).

Almost surely, 25200065464 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 5200065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616388800).

5200065464 is an abundant number, since it is smaller than the sum of its proper divisors (6032712136).

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

5200065464 is a wasteful number, since it uses less digits than its factorization.

5200065464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 5200065464 is about 72111.4794190218. The cubic root of 5200065464 is about 1732.4854808406.

Adding to 5200065464 its reverse (4645600025), we get a palindrome (9845665489).

The spelling of 5200065464 in words is "five billion, two hundred million, sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 317 418 634 836 1268 1672 2536 3487 6023 6974 9811 12046 13948 19622 24092 27896 39244 48184 66253 78488 107921 132506 186409 215842 265012 372818 431684 530024 745636 863368 1491272 2050499 3110087 4100998 6220174 8201996 12440348 16403992 24880696 34210957 59091653 68421914 118183306 136843828 236366612 273687656 472733224 650008183 1300016366 2600032732 5200065464