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10046208208 = 2417101365689
BaseRepresentation
bin10010101101100110…
…01111100011010000
3221221010201020212111
421112303033203100
5131033312130313
64340513035104
7503645234521
oct112663174320
927833636774
1010046208208
114295905a13
121b44555a94
13c414489ca
146b4350848
153dbe8943d
hex256ccf8d0

10046208208 has 40 divisors (see below), whose sum is σ = 20813612040. Its totient is φ = 4680806400.

The previous prime is 10046208149. The next prime is 10046208239. The reversal of 10046208208 is 80280264001.

10046208208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7529379984 + 2516828224 = 86772^2 + 50168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10046208208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155373 + ... + 210316.

It is an arithmetic number, because the mean of its divisors is an integer number (520340301).

Almost surely, 210046208208 is an apocalyptic number.

It is an amenable number.

10046208208 is an abundant number, since it is smaller than the sum of its proper divisors (10767403832).

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

10046208208 is a wasteful number, since it uses less digits than its factorization.

10046208208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365815 (or 365809 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 10046208208 in words is "ten billion, forty-six million, two hundred eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 365689 731378 1462756 2925512 5851024 6216713 12433426 24866852 36934589 49733704 73869178 99467408 147738356 295476712 590953424 627888013 1255776026 2511552052 5023104104 10046208208