Search a number
-
+
48403667119104 = 21032112344346861
BaseRepresentation
bin10110000000101110110110…
…11000100110110000000000
320100101100022210012201212200
423000113123120212300000
522321021202240302404
6250540200535353200
713124022665003313
oct1300273330466000
9210340283181780
1048403667119104
1114471975231550
125518b56222800
1321015a547a4cb
14bd4a6dd7c97a
1558e155499839
hex2c05db626c00

48403667119104 has 528 divisors, whose sum is σ = 159462097576704. Its totient is φ = 13998079180800.

The previous prime is 48403667119063. The next prime is 48403667119109. The reversal of 48403667119104 is 40191176630484.

It is a happy number.

48403667119104 is a `hidden beast` number, since 4 + 8 + 403 + 66 + 71 + 1 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (48403667119109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032896634 + ... + 1032943494.

Almost surely, 248403667119104 is an apocalyptic number.

48403667119104 is a gapful number since it is divisible by the number (44) 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 48403667119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79731048788352).

48403667119104 is an abundant number, since it is smaller than the sum of its proper divisors (111058430457600).

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

48403667119104 is a wasteful number, since it uses less digits than its factorization.

48403667119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47364 (or 47343 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48403667119104 in words is "forty-eight trillion, four hundred three billion, six hundred sixty-seven million, one hundred nineteen thousand, one hundred four".