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6704067370400 = 25528380084213
BaseRepresentation
bin110000110001110100110…
…0011011101110110100000
3212201220100222111202220022
41201203221203131312200
51334314412221323100
622131450034133012
71261232016263351
oct141435143356640
925656328452808
106704067370400
1121551a728a694
12903362721168
1339826337908a
1419269b383d28
15b95c5171e85
hex618e98ddda0

6704067370400 has 36 divisors (see below), whose sum is σ = 16366304469942. Its totient is φ = 2681626947840.

The previous prime is 6704067370379. The next prime is 6704067370421. The reversal of 6704067370400 is 40737604076.

It is an interprime number because it is at equal distance from previous prime (6704067370379) and next prime (6704067370421).

It can be written as a sum of positive squares in 3 ways, for example, as 4027872385936 + 2676194984464 = 2006956^2 + 1635908^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4190041307 + ... + 4190042906.

Almost surely, 26704067370400 is an apocalyptic number.

It is an amenable number.

6704067370400 is an abundant number, since it is smaller than the sum of its proper divisors (9662237099542).

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

6704067370400 is a wasteful number, since it uses less digits than its factorization.

6704067370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380084233 (or 8380084220 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The spelling of 6704067370400 in words is "six trillion, seven hundred four billion, sixty-seven million, three hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8380084213 16760168426 33520336852 41900421065 67040673704 83800842130 134081347408 167601684260 209502105325 268162694816 335203368520 419004210650 670406737040 838008421300 1340813474080 1676016842600 3352033685200 6704067370400