Search a number
-
+
47157471648 = 2534719295389
BaseRepresentation
bin101011111010110011…
…011110100110100000
311111201111002202210000
4223322303132212200
51233034303043043
633355220140000
73256414616040
oct537263364640
9144644082700
1047157471648
1118aaa188471
129180b37600
1345a6ba21a1
1423d4dd9720
1513600592d3
hexafacde9a0

47157471648 has 960 divisors, whose sum is σ = 177829344000. Its totient is φ = 11955879936.

The previous prime is 47157471617. The next prime is 47157471671. The reversal of 47157471648 is 84617475174.

47157471648 is a `hidden beast` number, since 4 + 7 + 1 + 574 + 7 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47157471594 and 47157471603.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 529859188 + ... + 529859276.

It is an arithmetic number, because the mean of its divisors is an integer number (185238900).

Almost surely, 247157471648 is an apocalyptic number.

47157471648 is a gapful number since it is divisible by the number (48) 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 47157471648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914672000).

47157471648 is an abundant number, since it is smaller than the sum of its proper divisors (130671872352).

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

47157471648 is a wasteful number, since it uses less digits than its factorization.

47157471648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 47157471648 in words is "forty-seven billion, one hundred fifty-seven million, four hundred seventy-one thousand, six hundred forty-eight".