Search a number
-
+
48521367936 = 2732971812399
BaseRepresentation
bin101101001100000110…
…010101000110000000
311122020112111212202100
4231030012111012000
51243332432233221
634142421150400
73335255552046
oct551406250600
9148215455670
1048521367936
111963a057988
1294a185b400
13476361c702
1424c41d0396
1513deb6b926
hexb4c195180

48521367936 has 192 divisors, whose sum is σ = 141903216000. Its totient is φ = 15911976960.

The previous prime is 48521367931. The next prime is 48521368037. The reversal of 48521367936 is 63976312584.

48521367936 is a `hidden beast` number, since 48 + 521 + 3 + 6 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48521367931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20224465 + ... + 20226863.

It is an arithmetic number, because the mean of its divisors is an integer number (739079250).

Almost surely, 248521367936 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 48521367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70951608000).

48521367936 is an abundant number, since it is smaller than the sum of its proper divisors (93381848064).

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

48521367936 is a wasteful number, since it uses less digits than its factorization.

48521367936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2682 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 48521367936 in words is "forty-eight billion, five hundred twenty-one million, three hundred sixty-seven thousand, nine hundred thirty-six".