Search a number
-
+
4108895555520 = 2635717231139491
BaseRepresentation
bin111011110010101101010…
…000101000111111000000
3112112210202222220002022010
4323302231100220333000
51014310004230234040
612423333415412520
7602600155646610
oct73625520507700
915483688802263
104108895555520
111344633471248
125643b8984140
1323a60c5499a2
14102c2b988a40
1571d3613ee80
hex3bcad428fc0

4108895555520 has 1344 divisors, whose sum is σ = 16500094894080. Its totient is φ = 847532851200.

The previous prime is 4108895555483. The next prime is 4108895555521. The reversal of 4108895555520 is 255555988014.

4108895555520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108895555521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8368422475 + ... + 8368422965.

It is an arithmetic number, because the mean of its divisors is an integer number (12276856320).

Almost surely, 24108895555520 is an apocalyptic number.

4108895555520 is a gapful number since it is divisible by the number (40) 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 4108895555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250047447040).

4108895555520 is an abundant number, since it is smaller than the sum of its proper divisors (12391199338560).

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

4108895555520 is a wasteful number, since it uses less digits than its factorization.

4108895555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 57.

The spelling of 4108895555520 in words is "four trillion, one hundred eight billion, eight hundred ninety-five million, five hundred fifty-five thousand, five hundred twenty".