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5058220464 = 2432114767943
BaseRepresentation
bin1001011010111111…
…00101000110110000
3111001111221020000200
410231133211012300
540324401023324
62153531115200
7236230110303
oct45537450660
914044836020
105058220464
1121662629a0
12b91ba2b00
13627c3487b
1435dad8b3a
151e9106ec9
hex12d7e51b0

5058220464 has 120 divisors (see below), whose sum is σ = 15771704832. Its totient is φ = 1500159360.

The previous prime is 5058220403. The next prime is 5058220481. The reversal of 5058220464 is 4640228505.

It is a happy number.

5058220464 is a `hidden beast` number, since 50 + 582 + 20 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40477 + ... + 108419.

Almost surely, 25058220464 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 5058220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885852416).

5058220464 is an abundant number, since it is smaller than the sum of its proper divisors (10713484368).

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

5058220464 is a wasteful number, since it uses less digits than its factorization.

5058220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68015 (or 68006 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5058220464 is about 71121.1674819811. The cubic root of 5058220464 is about 1716.5873908071.

Adding to 5058220464 its reverse (4640228505), we get a palindrome (9698448969).

It can be divided in two parts, 5058 and 220464, that added together give a palindrome (225522).

The spelling of 5058220464 in words is "five billion, fifty-eight million, two hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4653 6204 6768 8272 9306 12408 18612 24816 37224 67943 74448 135886 203829 271772 407658 543544 611487 747373 815316 1087088 1222974 1494746 1630632 2242119 2445948 2989492 3193321 3261264 4484238 4891896 5978984 6386642 6726357 8968476 9579963 9783792 11957968 12773284 13452714 17936952 19159926 25546568 26905428 28739889 35126531 35873904 38319852 51093136 53810856 57479778 70253062 76639704 105379593 107621712 114959556 140506124 153279408 210759186 229919112 281012248 316138779 421518372 459838224 562024496 632277558 843036744 1264555116 1686073488 2529110232 5058220464