Search a number
-
+
2048127104608 = 251379836071237
BaseRepresentation
bin11101110011011101111…
…000110111011001100000
321020210120111111002002221
4131303131320313121200
5232024031014321413
64204521355520424
7300654333100264
oct35633570673140
97223514432087
102048127104608
1171a6733a0902
12290b35759114
1311b1a32a0670
14711b65700a4
153842321a68d
hex1dcdde37660

2048127104608 has 192 divisors, whose sum is σ = 4461306716160. Its totient is φ = 919815616512.

The previous prime is 2048127104603. The next prime is 2048127104669. The reversal of 2048127104608 is 8064017218402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048127104603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655720566 + ... + 1655721802.

It is an arithmetic number, because the mean of its divisors is an integer number (23235972480).

Almost surely, 22048127104608 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 2048127104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230653358080).

2048127104608 is an abundant number, since it is smaller than the sum of its proper divisors (2413179611552).

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

2048127104608 is a wasteful number, since it uses less digits than its factorization.

2048127104608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 2048127104608 in words is "two trillion, forty-eight billion, one hundred twenty-seven million, one hundred four thousand, six hundred eight".