Search a number
-
+
2909148960060 = 22365725376831
BaseRepresentation
bin101010010101010110110…
…010100101010100111100
3101022010000121000021000000
4222111112302211110330
5340130414113210220
610104240010234300
7420115265105400
oct52252662452474
911263017007000
102909148960060
11a218438237a2
123ab990125990
131814405c71c5
14a0b36d85100
1550a1880c390
hex2a556ca553c

2909148960060 has 504 divisors, whose sum is σ = 10856259259776. Its totient is φ = 652393647360.

The previous prime is 2909148960037. The next prime is 2909148960061. The reversal of 2909148960060 is 600698419092.

2909148960060 is a `hidden beast` number, since 29 + 0 + 9 + 1 + 4 + 8 + 9 + 600 + 6 + 0 = 666.

2909148960060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2909148959979 and 2909148960006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909148960061) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37825845 + ... + 37902675.

It is an arithmetic number, because the mean of its divisors is an integer number (21540196944).

Almost surely, 22909148960060 is an apocalyptic number.

2909148960060 is a gapful number since it is divisible by the number (20) 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 2909148960060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428129629888).

2909148960060 is an abundant number, since it is smaller than the sum of its proper divisors (7947110299716).

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

2909148960060 is a wasteful number, since it uses less digits than its factorization.

2909148960060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76925 (or 76901 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2909148960060 in words is "two trillion, nine hundred nine billion, one hundred forty-eight million, nine hundred sixty thousand, sixty".