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6426062640 = 243352975029
BaseRepresentation
bin1011111110000010…
…11110111100110000
3121120211202210202000
411333001132330300
5101130033001030
62541352454000
7315146426334
oct57701367460
917524683660
106426062640
1127a8387a78
1212b40aa300
137b543413a
1444d6397c4
15279248860
hex17f05ef30

6426062640 has 80 divisors (see below), whose sum is σ = 22134223200. Its totient is φ = 1713616128.

The previous prime is 6426062581. The next prime is 6426062651. The reversal of 6426062640 is 462606246.

6426062640 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 0 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6426062595 and 6426062604.

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 15 ways as a sum of consecutive naturals, for example, 1485355 + ... + 1489674.

It is an arithmetic number, because the mean of its divisors is an integer number (276677790).

Almost surely, 26426062640 is an apocalyptic number.

6426062640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6426062640 is an abundant number, since it is smaller than the sum of its proper divisors (15708160560).

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

6426062640 is a wasteful number, since it uses less digits than its factorization.

6426062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975051 (or 2975039 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6426062640 is about 80162.7260015526. The cubic root of 6426062640 is about 1859.1523713264.

Adding to 6426062640 its reverse (462606246), we get a palindrome (6888668886).

The spelling of 6426062640 in words is "six billion, four hundred twenty-six million, sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2975029 5950058 8925087 11900116 14875145 17850174 23800232 26775261 29750290 35700348 44625435 47600464 53550522 59500580 71400696 80325783 89250870 107101044 119001160 133876305 142801392 160651566 178501740 214202088 238002320 267752610 321303132 357003480 401628915 428404176 535505220 642606264 714006960 803257830 1071010440 1285212528 1606515660 2142020880 3213031320 6426062640