Search a number
-
+
50136166080 = 263357112131731
BaseRepresentation
bin101110101100010110…
…010010111011000000
311210102002001010101000
4232230112102323000
51310134324303310
635010544012000
73423264244260
oct565426227300
9153362033330
1050136166080
111a298616700
129872601000
134960036c80
1425d88577a0
1514867e04c0
hexbac592ec0

50136166080 has 2688 divisors, whose sum is σ = 261521326080. Its totient is φ = 8758886400.

The previous prime is 50136166037. The next prime is 50136166117. The reversal of 50136166080 is 8066163105.

It is a happy number.

50136166080 is a `hidden beast` number, since 5 + 0 + 1 + 36 + 16 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1617295665 + ... + 1617295695.

It is an arithmetic number, because the mean of its divisors is an integer number (97292160).

Almost surely, 250136166080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50136166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130760663040).

50136166080 is an abundant number, since it is smaller than the sum of its proper divisors (211385160000).

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

50136166080 is a wasteful number, since it uses less digits than its factorization.

50136166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 5013616 and 6080, that added together give a triangular number (5019696 = T3168).

The spelling of 50136166080 in words is "fifty billion, one hundred thirty-six million, one hundred sixty-six thousand, eighty".