Search a number
-
+
6145519050 = 232521129311381
BaseRepresentation
bin1011011100100110…
…10010110111001010
3120212021212201021200
411232103102313022
5100041223102200
62453451445030
7305202023106
oct55623226712
916767781250
106145519050
112673a92470
121236156776
1376c289208
1442428c906
1525e7ce800
hex16e4d2dca

6145519050 has 288 divisors, whose sum is σ = 19248053760. Its totient is φ = 1391040000.

The previous prime is 6145519027. The next prime is 6145519067. The reversal of 6145519050 is 509155416.

6145519050 is a `hidden beast` number, since 6 + 14 + 551 + 90 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6145518996 and 6145519014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4449360 + ... + 4450740.

It is an arithmetic number, because the mean of its divisors is an integer number (66833520).

Almost surely, 26145519050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145519050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624026880).

6145519050 is an abundant number, since it is smaller than the sum of its proper divisors (13102534710).

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

6145519050 is a wasteful number, since it uses less digits than its factorization.

6145519050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 6145519050 is about 78393.3610071669. The cubic root of 6145519050 is about 1831.6937199328.

The spelling of 6145519050 in words is "six billion, one hundred forty-five million, five hundred nineteen thousand, fifty".