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47828428144 = 247457934441
BaseRepresentation
bin101100100010110010…
…111110010101110000
311120110020121220001121
4230202302332111300
51240423034200034
633545545112024
73312142634320
oct544262762560
9146406556047
1047828428144
111931399aa72
129329788614
134682bb2a73
14245a173280
15139dde11b4
hexb22cbe570

47828428144 has 40 divisors (see below), whose sum is σ = 106137660128. Its totient is φ = 20453022720.

The previous prime is 47828428127. The next prime is 47828428183. The reversal of 47828428144 is 44182482874.

47828428144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47828428091 and 47828428100.

It is a congruent number.

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, 416037 + ... + 518404.

Almost surely, 247828428144 is an apocalyptic number.

It is an amenable number.

47828428144 is an abundant number, since it is smaller than the sum of its proper divisors (58309231984).

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

47828428144 is a wasteful number, since it uses less digits than its factorization.

47828428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934913 (or 934907 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 52.

The spelling of 47828428144 in words is "forty-seven billion, eight hundred twenty-eight million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 457 914 1828 3199 3656 6398 7312 12796 25592 51184 934441 1868882 3737764 6541087 7475528 13082174 14951056 26164348 52328696 104657392 427039537 854079074 1708158148 2989276759 3416316296 5978553518 6832632592 11957107036 23914214072 47828428144