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4868593488 = 2432116150387
BaseRepresentation
bin1001000100011000…
…01101011101010000
3110120022010011201100
410202030031131100
534432324442423
62123034504400
7231435235053
oct44214153520
913508104640
104868593488
112079215390
12b3a595100
135c786cb65
14342856a9a
151d764b343
hex12230d750

4868593488 has 120 divisors (see below), whose sum is σ = 15107934816. Its totient is φ = 1451116800.

The previous prime is 4868593417. The next prime is 4868593519. The reversal of 4868593488 is 8843958684.

4868593488 is a `hidden beast` number, since 4 + 8 + 68 + 5 + 93 + 488 = 666.

It is a super-2 number, since 2×48685934882 = 47406405102792012288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71431 + ... + 121817.

Almost surely, 24868593488 is an apocalyptic number.

4868593488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4868593488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553967408).

4868593488 is an abundant number, since it is smaller than the sum of its proper divisors (10239341328).

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

4868593488 is a wasteful number, since it uses less digits than its factorization.

4868593488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50473 (or 50464 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The square root of 4868593488 is about 69775.3071508825. The cubic root of 4868593488 is about 1694.8626322487.

The spelling of 4868593488 in words is "four billion, eight hundred sixty-eight million, five hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 5368 6039 8052 8784 10736 12078 16104 24156 32208 48312 50387 96624 100774 151161 201548 302322 403096 453483 554257 604644 806192 906966 1108514 1209288 1662771 1813932 2217028 2418576 3073607 3325542 3627864 4434056 4988313 6147214 6651084 7255728 8868112 9220821 9976626 12294428 13302168 18441642 19953252 24588856 26604336 27662463 33809677 36883284 39906504 49177712 55324926 67619354 73766568 79813008 101429031 110649852 135238708 147533136 202858062 221299704 270477416 304287093 405716124 442599408 540954832 608574186 811432248 1217148372 1622864496 2434296744 4868593488