Search a number
-
+
2873462668128 = 2533132391070411
BaseRepresentation
bin101001110100000111101…
…110001011101101100000
3101011200220112221210112000
4221310013232023231200
5334034322420340003
610040014525204000
7414413040453063
oct51640756135540
911150815853460
102873462668128
11a086a0846448
123a4a90a00600
1317ac74153730
149d10d66c8da
154eb2a8b61a3
hex29d07b8bb60

2873462668128 has 192 divisors, whose sum is σ = 9063392486400. Its totient is φ = 880442196480.

The previous prime is 2873462668091. The next prime is 2873462668129. The reversal of 2873462668128 is 8218662643782.

2873462668128 is a `hidden beast` number, since 2 + 8 + 7 + 346 + 266 + 8 + 1 + 28 = 666.

2873462668128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873462668129) 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, 2149243 + ... + 3219653.

It is an arithmetic number, because the mean of its divisors is an integer number (47205169200).

Almost surely, 22873462668128 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 2873462668128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531696243200).

2873462668128 is an abundant number, since it is smaller than the sum of its proper divisors (6189929818272).

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

2873462668128 is a wasteful number, since it uses less digits than its factorization.

2873462668128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070682 (or 1070668 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 2873462668128 in words is "two trillion, eight hundred seventy-three billion, four hundred sixty-two million, six hundred sixty-eight thousand, one hundred twenty-eight".