Search a number
-
+
158199474816 = 273429412313
BaseRepresentation
bin1001001101010101101…
…1000110101010000000
3120010100012012222210000
42103111123012222000
510042443031143231
6200401551440000
714300221230435
oct2232533065200
9503305188700
10158199474816
116110152aa19
12267b0826000
1311bc22247c6
14792a741b8c
1541ad87d6e6
hex24d56c6a80

158199474816 has 480 divisors, whose sum is σ = 500797014300. Its totient is φ = 49514250240.

The previous prime is 158199474767. The next prime is 158199474817. The reversal of 158199474816 is 618474991851.

158199474816 is a `hidden beast` number, since 1 + 5 + 81 + 9 + 9 + 474 + 81 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2237668416 + 155961806400 = 47304^2 + 394920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158199474817) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 505429476 + ... + 505429788.

Almost surely, 2158199474816 is an apocalyptic number.

158199474816 is a gapful number since it is divisible by the number (16) 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 158199474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250398507150).

158199474816 is an abundant number, since it is smaller than the sum of its proper divisors (342597539484).

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

158199474816 is an equidigital number, since it uses as much as digits as its factorization.

158199474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 388 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 158199474816 in words is "one hundred fifty-eight billion, one hundred ninety-nine million, four hundred seventy-four thousand, eight hundred sixteen".