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1006926286338 = 232717341460843
BaseRepresentation
bin11101010011100010111…
…10111100111000000010
310120021001102110020010200
432221301132330320002
5112444141112130323
62050324152510030
7132514400133450
oct16516136747002
93507042406120
101006926286338
11359042702385
121431956ab316
1373c5023281b
1436a422959d0
151b2d486e443
hexea717bce02

1006926286338 has 48 divisors (see below), whose sum is σ = 2493490474176. Its totient is φ = 287676010080.

The previous prime is 1006926286307. The next prime is 1006926286369. The reversal of 1006926286338 is 8336826296001.

1006926286338 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 2 + 628 + 6 + 3 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1006926286307) and next prime (1006926286369).

It is a super-2 number, since 2×10069262863382 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954545 + ... + 2415387.

It is an arithmetic number, because the mean of its divisors is an integer number (51947718212).

Almost surely, 21006926286338 is an apocalyptic number.

1006926286338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1006926286338 is an abundant number, since it is smaller than the sum of its proper divisors (1486564187838).

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

1006926286338 is a wasteful number, since it uses less digits than its factorization.

1006926286338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478199 (or 478196 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1006926286338 in words is "one trillion, six billion, nine hundred twenty-six million, two hundred eighty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 17341 34682 52023 104046 121387 156069 242774 312138 364161 460843 728322 921686 1092483 1382529 2184966 2765058 3225901 4147587 6451802 8295174 9677703 19355406 29033109 58066218 7991478463 15982956926 23974435389 47948870778 55940349241 71923306167 111880698482 143846612334 167821047723 335642095446 503463143169 1006926286338