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10045698048 = 21232272507
BaseRepresentation
bin10010101101100010…
…10011000000000000
3221221002202100001200
421112301103000000
5131033144314143
64340454101200
7503641011261
oct112661230000
927832670050
1010045698048
1142955976a1
121b4434a800
13c412ca739
146b425a968
153dbdd81d3
hex256c53000

10045698048 has 78 divisors (see below), whose sum is σ = 29017469364. Its totient is φ = 3348553728.

The previous prime is 10045698023. The next prime is 10045698053. The reversal of 10045698048 is 84089654001.

10045698048 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 569 + 80 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10045697994 and 10045698012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99390 + ... + 173117.

It is an arithmetic number, because the mean of its divisors is an integer number (372018838).

Almost surely, 210045698048 is an apocalyptic number.

10045698048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10045698048 is an abundant number, since it is smaller than the sum of its proper divisors (18971771316).

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

10045698048 is an equidigital number, since it uses as much as digits as its factorization.

10045698048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272537 (or 272512 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10045698048 in words is "ten billion, forty-five million, six hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 272507 545014 817521 1090028 1635042 2180056 2452563 3270084 4360112 4905126 6540168 8720224 9810252 13080336 17440448 19620504 26160672 34880896 39241008 52321344 69761792 78482016 104642688 139523584 156964032 209285376 279047168 313928064 418570752 558094336 627856128 837141504 1116188672 1255712256 1674283008 2511424512 3348566016 5022849024 10045698048