Search a number
-
+
38418366096 = 2435111753997
BaseRepresentation
bin100011110001111010…
…011011111010010000
310200011102221012200000
4203301322123322100
51112140100203341
625352114530000
72530020503145
oct436172337220
9120142835600
1038418366096
1115325191090
127542296900
1338134aa306
141c064d83cc
15eecc148b6
hex8f1e9be90

38418366096 has 480 divisors, whose sum is σ = 131353342848. Its totient is φ = 10739589120.

The previous prime is 38418366059. The next prime is 38418366101. The reversal of 38418366096 is 69066381483.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38533470 + ... + 38534466.

Almost surely, 238418366096 is an apocalyptic number.

38418366096 is a gapful number since it is divisible by the number (36) 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 38418366096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65676671424).

38418366096 is an abundant number, since it is smaller than the sum of its proper divisors (92934976752).

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

38418366096 is a wasteful number, since it uses less digits than its factorization.

38418366096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38418366096 in words is "thirty-eight billion, four hundred eighteen million, three hundred sixty-six thousand, ninety-six".