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11948000448 = 26379787711
BaseRepresentation
bin10110010000010100…
…00000010011000000
31010211200021022101010
423020022000103000
5143432142003243
65253331040520
7602040220356
oct131012002300
933750238333
1011948000448
11508137563a
122395440140
131185459267
14814b637d6
1549dded433
hex2c82804c0

11948000448 has 56 divisors (see below), whose sum is σ = 32012615680. Its totient is φ = 3932248320.

The previous prime is 11948000431. The next prime is 11948000461. The reversal of 11948000448 is 84400084911.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378688 + ... + 409023.

Almost surely, 211948000448 is an apocalyptic number.

It is an amenable number.

11948000448 is an abundant number, since it is smaller than the sum of its proper divisors (20064615232).

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

11948000448 is an equidigital number, since it uses as much as digits as its factorization.

11948000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787805 (or 787795 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11948000448 in words is "eleven billion, nine hundred forty-eight million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 787711 1575422 2363133 3150844 4726266 6301688 9452532 12603376 18905064 25206752 37810128 50413504 62229169 75620256 124458338 151240512 186687507 248916676 373375014 497833352 746750028 995666704 1493500056 1991333408 2987000112 3982666816 5974000224 11948000448