Search a number
-
+
47448567689472 = 2832199771109411
BaseRepresentation
bin10101100100111011110110…
…00001011011000100000000
320020000001001021010121122100
422302131323001123010000
522204344131312030342
6244525323204110400
712665021511544245
oct1262357301330400
9206001037117570
1047448567689472
111413390852a754
1253a3a25395400
1320624c461bb01
14ba0746cc15cc
155743a5a80e4c
hex2b277b05b100

47448567689472 has 216 divisors, whose sum is σ = 144153755796960. Its totient is φ = 14968408227840.

The previous prime is 47448567689429. The next prime is 47448567689503. The reversal of 47448567689472 is 27498676584474.

47448567689472 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 8 + 5 + 67 + 6 + 89 + 472 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47448567689391 and 47448567689400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42214447 + ... + 43323857.

It is an arithmetic number, because the mean of its divisors is an integer number (667378499060).

Almost surely, 247448567689472 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 47448567689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72076877898480).

47448567689472 is an abundant number, since it is smaller than the sum of its proper divisors (96705188107488).

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

47448567689472 is a wasteful number, since it uses less digits than its factorization.

47448567689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110429 (or 1110412 counting only the distinct ones).

The product of its digits is 18207866880, while the sum is 81.

The spelling of 47448567689472 in words is "forty-seven trillion, four hundred forty-eight billion, five hundred sixty-seven million, six hundred eighty-nine thousand, four hundred seventy-two".