Search a number
-
+
2103757970688 = 2832111723212297
BaseRepresentation
bin11110100111010001101…
…111110001110100000000
321110010011111202212212100
4132213101233301310000
5233431444020030223
64250241510230400
7304664040463233
oct36472157616400
97403144685770
102103757970688
11741220590990
1229b880355400
131234ca7b3aba
1473b72a6141a
1539acc0d0043
hex1e9d1bf1d00

2103757970688 has 432 divisors, whose sum is σ = 7310972462976. Its totient is φ = 573912514560.

The previous prime is 2103757970683. The next prime is 2103757970719. The reversal of 2103757970688 is 8860797573012.

2103757970688 is a `hidden beast` number, since 21 + 0 + 37 + 579 + 7 + 0 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103757970683) 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, 9803356 + ... + 10015652.

It is an arithmetic number, because the mean of its divisors is an integer number (16923547368).

Almost surely, 22103757970688 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 2103757970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655486231488).

2103757970688 is an abundant number, since it is smaller than the sum of its proper divisors (5207214492288).

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

2103757970688 is a wasteful number, since it uses less digits than its factorization.

2103757970688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212370 (or 212353 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2103757970688 in words is "two trillion, one hundred three billion, seven hundred fifty-seven million, nine hundred seventy thousand, six hundred eighty-eight".