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4974983160 = 233576788397
BaseRepresentation
bin1001010001000100…
…00011011111111000
3110211201022022220120
410220202003133320
540142043430120
62141355053240
7234166442040
oct45042033770
913751268816
104974983160
112123280534
12b6a141220
1361390cb24
14352a2c720
151e1b64140
hex1288837f8

4974983160 has 128 divisors (see below), whose sum is σ = 17311864320. Its totient is φ = 1120154112.

The previous prime is 4974983129. The next prime is 4974983179. The reversal of 4974983160 is 613894794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12082 + ... + 100478.

It is an arithmetic number, because the mean of its divisors is an integer number (135248940).

Almost surely, 24974983160 is an apocalyptic number.

4974983160 is a gapful number since it is divisible by the number (40) 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 4974983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655932160).

4974983160 is an abundant number, since it is smaller than the sum of its proper divisors (12336881160).

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

4974983160 is a wasteful number, since it uses less digits than its factorization.

4974983160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88485 (or 88481 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 4974983160 is about 70533.5605226335. The cubic root of 4974983160 is about 1707.1192974329.

The spelling of 4974983160 in words is "four billion, nine hundred seventy-four million, nine hundred eighty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 88397 176794 265191 353588 441985 530382 618779 707176 883970 1060764 1237558 1325955 1767940 1856337 2121528 2475116 2651910 3093895 3535880 3712674 4950232 5303820 5922599 6187790 7425348 9281685 10607640 11845198 12375580 14850696 17767797 18563370 23690396 24751160 29612995 35535594 37126740 41458193 47380792 59225990 71071188 74253480 82916386 88838985 118451980 124374579 142142376 165832772 177677970 207290965 236903960 248749158 331665544 355355940 414581930 497498316 621872895 710711880 829163860 994996632 1243745790 1658327720 2487491580 4974983160