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4975174624 = 257219315387
BaseRepresentation
bin1001010001000101…
…10010001111100000
3110211201200001112211
410220202302033200
540142121041444
62141403131504
7234201200200
oct45042621740
913751601484
104975174624
1121233a1372
12b6a213b94
13613979014
14352a7c400
151e1ba0c34
hex1288b23e0

4975174624 has 144 divisors (see below), whose sum is σ = 12382917120. Its totient is φ = 1954471680.

The previous prime is 4975174619. The next prime is 4975174639. The reversal of 4975174624 is 4264715794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 920859 + ... + 926245.

It is an arithmetic number, because the mean of its divisors is an integer number (85992480).

Almost surely, 24975174624 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 4975174624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191458560).

4975174624 is an abundant number, since it is smaller than the sum of its proper divisors (7407742496).

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

4975174624 is a wasteful number, since it uses less digits than its factorization.

4975174624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5446 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The square root of 4975174624 is about 70534.9177641826. The cubic root of 4975174624 is about 1707.1411968502.

The spelling of 4975174624 in words is "four billion, nine hundred seventy-five million, one hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 392 434 496 532 589 608 784 868 931 992 1064 1178 1519 1568 1736 1862 2128 2356 3038 3472 3724 4123 4256 4712 5387 6076 6944 7448 8246 9424 10774 12152 14896 16492 18848 21548 24304 28861 29792 32984 37709 43096 48608 57722 65968 75418 86192 102353 115444 131936 150836 166997 172384 204706 230888 263963 301672 333994 409412 461776 527926 603344 667988 716471 818824 923552 1055852 1168979 1206688 1335976 1432942 1637648 2111704 2337958 2671952 2865884 3172943 3275296 4223408 4675916 5015297 5343904 5731768 6345886 8182853 8446816 9351832 10030594 11463536 12691772 16365706 18703664 20061188 22210601 22927072 25383544 32731412 37407328 40122376 44421202 50767088 65462824 80244752 88842404 101534176 130925648 155474207 160489504 177684808 261851296 310948414 355369616 621896828 710739232 1243793656 2487587312 4975174624