Search a number
-
+
2731929050520 = 23325137235123561
BaseRepresentation
bin100111110000010011101…
…010010001110110011000
3100200011120211111001220200
4213300103222101312120
5324224442314104040
65451010400422200
7401242514532315
oct47602352216630
910604524431820
102731929050520
1196367180073a
12381571617960
1316a80992b9c7
14963244a9d0c
154b0e5209630
hex27c13a91d98

2731929050520 has 192 divisors, whose sum is σ = 8947761863040. Its totient is φ = 722858496000.

The previous prime is 2731929050497. The next prime is 2731929050533. The reversal of 2731929050520 is 250509291372.

2731929050520 is a `hidden beast` number, since 2 + 7 + 31 + 9 + 2 + 90 + 5 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115939540 + ... + 115963100.

It is an arithmetic number, because the mean of its divisors is an integer number (46602926370).

Almost surely, 22731929050520 is an apocalyptic number.

2731929050520 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 2731929050520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473880931520).

2731929050520 is an abundant number, since it is smaller than the sum of its proper divisors (6215832812520).

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

2731929050520 is a wasteful number, since it uses less digits than its factorization.

2731929050520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26066 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 2731929050520 in words is "two trillion, seven hundred thirty-one billion, nine hundred twenty-nine million, fifty thousand, five hundred twenty".