Search a number
-
+
6162156000 = 2534537111319
BaseRepresentation
bin1011011110100101…
…10000100111100000
3120220110011221220000
411233102300213200
5100110002443000
62455244220000
7305463314250
oct55722604740
916813157800
106162156000
112682416010
12123b83a600
13772862970
1442657d960
15260eb9000
hex16f4b09e0

6162156000 has 1920 divisors, whose sum is σ = 31965373440. Its totient is φ = 1119744000.

The previous prime is 6162155983. The next prime is 6162156023. The reversal of 6162156000 is 6512616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 324323991 + ... + 324324009.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 26162156000 is an apocalyptic number.

6162156000 is a gapful number since it is divisible by the number (60) 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 6162156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982686720).

6162156000 is an abundant number, since it is smaller than the sum of its proper divisors (25803217440).

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

6162156000 is a wasteful number, since it uses less digits than its factorization.

6162156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6162156000 is about 78499.4012716021. The cubic root of 6162156000 is about 1833.3451312372.

Adding to 6162156000 its reverse (6512616), we get a palindrome (6168668616).

The spelling of 6162156000 in words is "six billion, one hundred sixty-two million, one hundred fifty-six thousand".