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5086332192 = 2533112131409
BaseRepresentation
bin1001011110010101…
…10100010100100000
3111010110211110001210
410233022310110200
540404100112232
62200413430120
7240021052554
oct45712642440
914113743053
105086332192
112180113727
12b9b49b340
136309c8226
14363735864
151eb80b5cc
hex12f2b4520

5086332192 has 96 divisors (see below), whose sum is σ = 13803471360. Its totient is φ = 1638236160.

The previous prime is 5086332191. The next prime is 5086332211. The reversal of 5086332192 is 2912336805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5086332192.

It is not an unprimeable number, because it can be changed into a prime (5086332191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3609184 + ... + 3610592.

It is an arithmetic number, because the mean of its divisors is an integer number (143786160).

Almost surely, 25086332192 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 5086332192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901735680).

5086332192 is an abundant number, since it is smaller than the sum of its proper divisors (8717139168).

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

5086332192 is a wasteful number, since it uses less digits than its factorization.

5086332192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 5086332192 is about 71318.5262887561. The cubic root of 5086332192 is about 1719.7615714211.

Adding to 5086332192 its reverse (2912336805), we get a palindrome (7998668997).

The spelling of 5086332192 in words is "five billion, eighty-six million, three hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1213 1409 1488 2426 2818 2976 3639 4227 4852 5636 7278 8454 9704 11272 14556 16908 19408 22544 29112 33816 37603 38816 43679 45088 58224 67632 75206 87358 112809 116448 131037 135264 150412 174716 225618 262074 300824 349432 451236 524148 601648 698864 902472 1048296 1203296 1397728 1709117 1804944 2096592 3418234 3609888 4193184 5127351 6836468 10254702 13672936 20509404 27345872 41018808 52982627 54691744 82037616 105965254 158947881 164075232 211930508 317895762 423861016 635791524 847722032 1271583048 1695444064 2543166096 5086332192