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48910244201984 = 29111723291017583
BaseRepresentation
bin10110001111011110011011…
…01110110100011000000000
320102011202220000100212200102
423013233031232310120000
522402321140003430414
6252005020032341532
713205435306111504
oct1307571556643000
9212152800325612
1048910244201984
1114647799845730
12559b1719a48a8
13213a2a70c77a9
14c113a88b0304
1559c403707ede
hex2c7bcdbb4600

48910244201984 has 640 divisors, whose sum is σ = 123072317153280. Its totient is φ = 19130417152000.

The previous prime is 48910244201981. The next prime is 48910244201989.

48910244201984 is nontrivially palindromic in base 10.

48910244201984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×489102442019843 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48910244201981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6449982257 + ... + 6449989839.

It is an arithmetic number, because the mean of its divisors is an integer number (192300495552).

Almost surely, 248910244201984 is an apocalyptic number.

48910244201984 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 48910244201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61536158576640).

48910244201984 is an abundant number, since it is smaller than the sum of its proper divisors (74162072951296).

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

48910244201984 is a wasteful number, since it uses less digits than its factorization.

48910244201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 48910244201984 in words is "forty-eight trillion, nine hundred ten billion, two hundred forty-four million, two hundred one thousand, nine hundred eighty-four".