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48150075904 = 29760722133
BaseRepresentation
bin101100110101111101…
…111101101000000000
311121021122212021211121
4230311331331220000
51242102404412104
634041515122024
73323126615020
oct546575755000
9147248767747
1048150075904
111946950a767
1293b9443314
13470471cc98
14248ab7da80
1513bc279254
hexb35f7da00

48150075904 has 80 divisors (see below), whose sum is σ = 110135950848. Its totient is φ = 20600819712.

The previous prime is 48150075881. The next prime is 48150075907. The reversal of 48150075904 is 40957005184.

It is a super-2 number, since 2×481500759042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48150075907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2164422 + ... + 2186554.

Almost surely, 248150075904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48150075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55067975424).

48150075904 is an abundant number, since it is smaller than the sum of its proper divisors (61985874944).

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

48150075904 is an equidigital number, since it uses as much as digits as its factorization.

48150075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22765 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 48150075904 in words is "forty-eight billion, one hundred fifty million, seventy-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 607 896 1214 1792 2428 3584 4249 4856 8498 9712 16996 19424 22133 33992 38848 44266 67984 77696 88532 135968 154931 155392 177064 271936 309862 310784 354128 543872 619724 708256 1087744 1239448 1416512 2175488 2478896 2833024 4957792 5666048 9915584 11332096 13434731 19831168 26869462 39662336 53738924 79324672 94043117 107477848 188086234 214955696 376172468 429911392 752344936 859822784 1504689872 1719645568 3009379744 3439291136 6018759488 6878582272 12037518976 24075037952 48150075904