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6820848804 = 22372117391427
BaseRepresentation
bin1100101101000110…
…11110010010100100
3122121100122000112210
412112203132102210
5102432114130204
63044454243420
7331012154400
oct62643362244
918540560483
106820848804
112990211730
1213a4356570
1384916b513
14489c44100
1529dc2c389
hex1968de4a4

6820848804 has 144 divisors (see below), whose sum is σ = 20238301440. Its totient is φ = 1768011840.

The previous prime is 6820848751. The next prime is 6820848809. The reversal of 6820848804 is 4088480286.

It is not an unprimeable number, because it can be changed into a prime (6820848809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4779139 + ... + 4780565.

It is an arithmetic number, because the mean of its divisors is an integer number (140543760).

Almost surely, 26820848804 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 6820848804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119150720).

6820848804 is an abundant number, since it is smaller than the sum of its proper divisors (13417452636).

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

6820848804 is a wasteful number, since it uses less digits than its factorization.

6820848804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 6820848804 is about 82588.4302066579. The cubic root of 6820848804 is about 1896.4707155700.

The spelling of 6820848804 in words is "six billion, eight hundred twenty million, eight hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 739 924 1078 1427 1478 1617 2156 2217 2854 2956 3234 4281 4434 5173 5708 6468 8129 8562 8868 9989 10346 15519 15697 16258 17124 19978 20692 24387 29967 31038 31394 32516 36211 39956 47091 48774 56903 59934 62076 62788 69923 72422 94182 97548 108633 109879 113806 119868 139846 144844 170709 188364 209769 217266 219758 227612 279692 329637 341418 398321 419538 434532 439516 659274 682836 769153 796642 839076 1054553 1194963 1318548 1538306 1593284 2109106 2307459 2389926 3076612 3163659 4218212 4614918 4779852 6327318 7381871 9229836 11600083 12654636 14763742 22145613 23200166 29527484 34800249 44291226 46400332 51673097 69600498 81200581 88582452 103346194 139200996 155019291 162401162 206692388 243601743 310038582 324802324 487203486 568404067 620077164 974406972 1136808134 1705212201 2273616268 3410424402 6820848804