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4946451779844 = 223415727872
BaseRepresentation
bin100011111111010111110…
…0000000101000100000100
3122111212122201200200210000
41013332233200011010010
51122020313123423334
614304211340201300
71020240454254201
oct107765740050404
918455581620700
104946451779844
111637862092163
1267a7a4839230
1329b5aa1a39b3
141315a3b04ca8
1588a065e7299
hex47faf805104

4946451779844 has 135 divisors (see below), whose sum is σ = 13030446790053. Its totient is φ = 1636233517152.

The previous prime is 4946451779839. The next prime is 4946451779861. The reversal of 4946451779844 is 4489771546494.

The square root of 4946451779844 is 2224062.

It is a perfect power (a square), and thus also a powerful number.

4946451779844 is a `hidden beast` number, since 4 + 9 + 4 + 64 + 517 + 7 + 9 + 8 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1449880892100 + 3496570887744 = 1204110^2 + 1869912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6285198819 + ... + 6285199605.

Almost surely, 24946451779844 is an apocalyptic number.

4946451779844 is the 2224062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4946451779844

4946451779844 is an abundant number, since it is smaller than the sum of its proper divisors (8083995010209).

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

4946451779844 is an frugal number, since it uses more digits than its factorization.

4946451779844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 949 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 4946451779844 in words is "four trillion, nine hundred forty-six billion, four hundred fifty-one million, seven hundred seventy-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 787 942 1413 1574 1884 2361 2826 3148 4239 4722 5652 7083 8478 9444 12717 14166 16956 21249 24649 25434 28332 42498 49298 50868 63747 73947 84996 98596 123559 127494 147894 221841 247118 254988 295788 370677 443682 494236 619369 665523 741354 887364 1112031 1238738 1331046 1482708 1858107 1996569 2224062 2477476 2662092 3336093 3716214 3993138 4448124 5574321 6672186 7432428 7986276 10008279 11148642 13344372 16722963 19398763 20016558 22297284 33445926 38797526 40033116 50168889 58196289 66891852 77595052 97240933 100337778 116392578 174588867 194481866 200675556 232785156 291722799 349177734 388963732 523766601 583445598 698355468 875168397 1047533202 1166891196 1571299803 1750336794 2095066404 2625505191 3142599606 3500673588 5251010382 6285199212 7876515573 10502020764 15266826481 15753031146 30533652962 31506062292 45800479443 61067305924 91600958886 137401438329 183201917772 274802876658 412204314987 549605753316 824408629974 1236612944961 1648817259948 2473225889922 4946451779844