Search a number
-
+
116257064000 = 2653711188729
BaseRepresentation
bin110110001000101110…
…1100000010001000000
3102010002011011202120012
41230101131200101000
53401043302022000
6125224024204052
711253646511360
oct1542135402100
9363064152505
10116257064000
1145339099990
121a646309628
13ac6990c73c
1458ac1ca9a0
1530565ac735
hex1b11760440

116257064000 has 224 divisors, whose sum is σ = 358955400960. Its totient is φ = 36235776000.

The previous prime is 116257063997. The next prime is 116257064009. The reversal of 116257064000 is 460752611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (116257064009) by changing a digit.

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, 521636 + ... + 710364.

Almost surely, 2116257064000 is an apocalyptic number.

116257064000 is a gapful number since it is divisible by the number (10) 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 116257064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179477700480).

116257064000 is an abundant number, since it is smaller than the sum of its proper divisors (242698336960).

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

116257064000 is a wasteful number, since it uses less digits than its factorization.

116257064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188774 (or 188754 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 116257064000 in words is "one hundred sixteen billion, two hundred fifty-seven million, sixty-four thousand".