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816424287844 = 221126726132
BaseRepresentation
bin10111110000101101010…
…11011111111001100100
32220001100000100000021211
423320112223133321210
5101334014104202334
61423020553521204
7112661516642104
oct13702653377144
92801300300254
10816424287844
11295275254300
1211228aa13204
135bcb08c91a9
142b72d7c1204
1516385197a64
hexbe16adfe64

816424287844 has 81 divisors (see below), whose sum is σ = 1596830095161. Its totient is φ = 364966763040.

The previous prime is 816424287727. The next prime is 816424287851. The reversal of 816424287844 is 448782424618.

The square root of 816424287844 is 903562.

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

It can be written as a sum of positive squares in only one way, i.e., 2661528100 + 813762759744 = 51590^2 + 902088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1331850082 + ... + 1331850694.

Almost surely, 2816424287844 is an apocalyptic number.

816424287844 is the 903562-nd square number.

It is an amenable number.

816424287844 is a deficient number, since it is larger than the sum of its proper divisors (780405807317).

816424287844 is an equidigital number, since it uses as much as digits as its factorization.

816424287844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 693 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 58.

The spelling of 816424287844 in words is "eight hundred sixteen billion, four hundred twenty-four million, two hundred eighty-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 11 22 44 67 121 134 242 268 484 613 737 1226 1474 2452 2948 4489 6743 8107 8978 13486 16214 17956 26972 32428 41071 49379 74173 82142 98758 148346 164284 197516 296692 375769 451781 543169 751538 903562 1086338 1503076 1807124 2172676 2751757 4133459 4969591 5503514 8266918 9939182 11007028 16533836 19878364 25176523 30269327 45468049 50353046 60538654 90936098 100706092 121077308 181872196 276941753 332962597 553883506 665925194 1107767012 1331850388 1686827041 3046359283 3373654082 6092718566 6747308164 12185437132 18555097451 37110194902 74220389804 204106071961 408212143922 816424287844