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47169721290048 = 263735096518817
BaseRepresentation
bin10101011100110100011100…
…11110110100110101000000
320012000101021222102211122020
422232122032132310311000
522140312042122240143
6244153245410041440
712635620444343520
oct1256321636646500
9205011258384566
1047169721290048
1114036625a57685
125359984279280
132042116194a26
14b91053357680
1556bed5560883
hex2ae68e7b4d40

47169721290048 has 56 divisors (see below), whose sum is σ = 142632252476352. Its totient is φ = 13477063225344.

The previous prime is 47169721290023. The next prime is 47169721290077. The reversal of 47169721290048 is 84009212796174.

47169721290048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 47169721289973 and 47169721290000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17548258065 + ... + 17548260752.

Almost surely, 247169721290048 is an apocalyptic number.

47169721290048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47169721290048 is an abundant number, since it is smaller than the sum of its proper divisors (95462531186304).

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

47169721290048 is a wasteful number, since it uses less digits than its factorization.

47169721290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35096518839 (or 35096518829 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 47169721290048 in words is "forty-seven trillion, one hundred sixty-nine billion, seven hundred twenty-one million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 35096518817 70193037634 105289556451 140386075268 210579112902 245675631719 280772150536 421158225804 491351263438 561544301072 737026895157 842316451608 982702526876 1123088602144 1474053790314 1684632903216 1965405053752 2246177204288 2948107580628 3369265806432 3930810107504 5896215161256 6738531612864 7861620215008 11792430322512 15723240430016 23584860645024 47169721290048