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5032297368 = 2334710310771
BaseRepresentation
bin1001010111111001…
…01100001110011000
3110222201011012020000
410223330230032120
540301232003433
62151203333000
7235463551620
oct45374541630
913881135200
105032297368
11215266754a
12b85381160
13622759467
1435a4ab880
151e6bd6113
hex12bf2c398

5032297368 has 160 divisors (see below), whose sum is σ = 16266581760. Its totient is φ = 1423707840.

The previous prime is 5032297367. The next prime is 5032297399. The reversal of 5032297368 is 8637922305.

5032297368 is a `hidden beast` number, since 503 + 22 + 97 + 36 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032297367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 461823 + ... + 472593.

It is an arithmetic number, because the mean of its divisors is an integer number (101666136).

Almost surely, 25032297368 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 5032297368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133290880).

5032297368 is an abundant number, since it is smaller than the sum of its proper divisors (11234284392).

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

5032297368 is a wasteful number, since it uses less digits than its factorization.

5032297368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5032297368 is about 70938.6873856572. The cubic root of 5032297368 is about 1713.6498955648.

The spelling of 5032297368 in words is "five billion, thirty-two million, two hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 103 108 126 162 168 189 206 216 252 309 324 378 412 504 567 618 648 721 756 824 927 1134 1236 1442 1512 1854 2163 2268 2472 2781 2884 3708 4326 4536 5562 5768 6489 7416 8343 8652 10771 11124 12978 16686 17304 19467 21542 22248 25956 32313 33372 38934 43084 51912 58401 64626 66744 75397 77868 86168 96939 116802 129252 150794 155736 193878 226191 233604 258504 290817 301588 387756 452382 467208 581634 603176 678573 775512 872451 904764 1109413 1163268 1357146 1744902 1809528 2035719 2218826 2326536 2714292 3328239 3489804 4071438 4437652 5428584 6107157 6656478 6979608 7765891 8142876 8875304 9984717 12214314 13312956 15531782 16285752 19969434 23297673 24428628 26625912 29954151 31063564 39938868 46595346 48857256 59908302 62127128 69893019 79877736 89862453 93190692 119816604 139786038 179724906 186381384 209679057 239633208 279572076 359449812 419358114 559144152 629037171 718899624 838716228 1258074342 1677432456 2516148684 5032297368