Search a number
-
+
48926758653696 = 28371117317612063
BaseRepresentation
bin10110001111111101001100…
…00100011100111100000000
320102020100111221012221120010
423013332212010130330000
522403104000203404241
6252020350450344520
713206561455456160
oct1307764604347400
9212210457187503
1048926758653696
11146537a3818730
1255a240058b140
13213ba09625a01
14c120d3cba5a0
1559ca6d46dd16
hex2c7fa611cf00

48926758653696 has 1152 divisors, whose sum is σ = 177762140946432. Its totient is φ = 11554062336000.

The previous prime is 48926758653691. The next prime is 48926758653719. The reversal of 48926758653696 is 69635685762984.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48926758653691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23716314361 + ... + 23716316423.

It is an arithmetic number, because the mean of its divisors is an integer number (154307414016).

Almost surely, 248926758653696 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 48926758653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88881070473216).

48926758653696 is an abundant number, since it is smaller than the sum of its proper divisors (128835382292736).

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

48926758653696 is a wasteful number, since it uses less digits than its factorization.

48926758653696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2895 counting only the distinct ones).

The product of its digits is 28217548800, while the sum is 84.

The spelling of 48926758653696 in words is "forty-eight trillion, nine hundred twenty-six billion, seven hundred fifty-eight million, six hundred fifty-three thousand, six hundred ninety-six".