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47482895561472 = 2833721723367977
BaseRepresentation
bin10101100101111011110010…
…00111110111001100000000
320020010022122122002012022000
422302331321013313030000
522210424432230431342
6244553201401344000
713000345262622600
oct1262757107671400
9206108578065260
1047482895561472
1114147423738aa8
1253aa605798000
1320658055118c7
14ba228202ac00
155752145e744c
hex2b2f791f7300

47482895561472 has 1728 divisors, whose sum is σ = 181144923402240. Its totient is φ = 12167611416576.

The previous prime is 47482895561459. The next prime is 47482895561477. The reversal of 47482895561472 is 27416559828474.

47482895561472 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 2 + 8 + 95 + 5 + 61 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 47482895561472.

It is not an unprimeable number, because it can be changed into a prime (47482895561477) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48600711448 + ... + 48600712424.

It is an arithmetic number, because the mean of its divisors is an integer number (104829238080).

Almost surely, 247482895561472 is an apocalyptic number.

47482895561472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47482895561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90572461701120).

47482895561472 is an abundant number, since it is smaller than the sum of its proper divisors (133662027840768).

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

47482895561472 is a wasteful number, since it uses less digits than its factorization.

47482895561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1396 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 47482895561472 in words is "forty-seven trillion, four hundred eighty-two billion, eight hundred ninety-five million, five hundred sixty-one thousand, four hundred seventy-two".