Search a number
-
+
116055147264 = 2837231019293
BaseRepresentation
bin110110000010101101…
…1010000001100000000
3102002120002020022212120
41230011123100030000
53400140104203024
6125152012324240
711245645322010
oct1540533201400
9362502208776
10116055147264
1145245117951
121a5aa773680
13ac36b33b94
14588d469c40
1530439c5479
hex1b056d0300

116055147264 has 288 divisors, whose sum is σ = 372035994624. Its totient is φ = 31399526400.

The previous prime is 116055147223. The next prime is 116055147281. The reversal of 116055147264 is 462741550611.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12483802 + ... + 12493094.

It is an arithmetic number, because the mean of its divisors is an integer number (1291791648).

Almost surely, 2116055147264 is an apocalyptic number.

116055147264 is a gapful number since it is divisible by the number (14) 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 116055147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186017997312).

116055147264 is an abundant number, since it is smaller than the sum of its proper divisors (255980847360).

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

116055147264 is a wasteful number, since it uses less digits than its factorization.

116055147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

Adding to 116055147264 its reverse (462741550611), we get a palindrome (578796697875).

The spelling of 116055147264 in words is "one hundred sixteen billion, fifty-five million, one hundred forty-seven thousand, two hundred sixty-four".