Search a number
-
+
4866116544 = 26329778647
BaseRepresentation
bin1001000100000101…
…10000101111000000
3110120010110022222200
410202002300233000
534431211212134
62122505433200
7231405210462
oct44202605700
913503408880
104866116544
112077883423
12b3979b800
135c71b3603
143423b0132
151d730c499
hex1220b0bc0

4866116544 has 84 divisors (see below), whose sum is σ = 13963735344. Its totient is φ = 1620191232.

The previous prime is 4866116501. The next prime is 4866116551. The reversal of 4866116544 is 4456116684.

4866116544 is a `hidden beast` number, since 48 + 6 + 61 + 1 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4866116544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558429 + ... + 567075.

Almost surely, 24866116544 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 4866116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981867672).

4866116544 is an abundant number, since it is smaller than the sum of its proper divisors (9097618800).

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

4866116544 is a wasteful number, since it uses less digits than its factorization.

4866116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9629 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4866116544 is about 69757.5554617563. Note that the first 3 decimals coincide. The cubic root of 4866116544 is about 1694.5751575754.

The spelling of 4866116544 in words is "four billion, eight hundred sixty-six million, one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 977 1954 2931 3908 5862 7816 8647 8793 11724 15632 17294 17586 23448 25941 31264 34588 35172 46896 51882 62528 69176 70344 77823 93792 103764 138352 140688 155646 187584 207528 276704 281376 311292 415056 553408 562752 622584 830112 1245168 1660224 2490336 4980672 8448119 16896238 25344357 33792476 50688714 67584952 76033071 101377428 135169904 152066142 202754856 270339808 304132284 405509712 540679616 608264568 811019424 1216529136 1622038848 2433058272 4866116544