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6818302771344 = 2434725332
BaseRepresentation
bin110001100111000001010…
…0000111100000010010000
3220010211020020120102010000
41203032002200330002100
51343202341002140334
622300141323210000
71302414620206461
oct143160240740220
926124206512100
106818302771344
112199698186159
12921523976900
133a5c6a19808c
14198016c76d68
15bc55dedd299
hex6338283c090

6818302771344 has 75 divisors (see below), whose sum is σ = 19734418444873. Its totient is φ = 2272736256192.

The previous prime is 6818302771307. The next prime is 6818302771351. The reversal of 6818302771344 is 4431772038186.

The square root of 6818302771344 is 2611188.

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

6818302771344 is a `hidden beast` number, since 68 + 183 + 0 + 277 + 134 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5612066240400 + 1206236530944 = 2368980^2 + 1098288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 93966502 + ... + 94039034.

Almost surely, 26818302771344 is an apocalyptic number.

6818302771344 is the 2611188-th square number.

It is an amenable number.

6818302771344 is an abundant number, since it is smaller than the sum of its proper divisors (12916115673529).

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

6818302771344 is an frugal number, since it uses more digits than its factorization.

6818302771344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145086 (or 72538 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 6818302771344 in words is "six trillion, eight hundred eighteen billion, three hundred two million, seven hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 72533 145066 217599 290132 435198 580264 652797 870396 1160528 1305594 1740792 1958391 2611188 3481584 3916782 5222376 5875173 7833564 10444752 11750346 15667128 23500692 31334256 47001384 94002768 5261036089 10522072178 15783108267 21044144356 31566216534 42088288712 47349324801 63132433068 84176577424 94698649602 126264866136 142047974403 189397299204 252529732272 284095948806 378794598408 426143923209 568191897612 757589196816 852287846418 1136383795224 1704575692836 2272767590448 3409151385672 6818302771344