Search a number
-
+
613486089216 = 2103671113821
BaseRepresentation
bin10001110110101101001…
…11101101010000000000
32011122111220022101000000
420323112213231100000
540022404414323331
61145455344000000
762215520501250
oct10732647552000
92148456271000
10613486089216
112171a59a3a80
129aa93300000
1345b0b953660
142199b3c3960
1510e58cdb0e6
hex8ed69ed400

613486089216 has 1232 divisors, whose sum is σ = 2471775884928. Its totient is φ = 146910412800.

The previous prime is 613486089211. The next prime is 613486089247. The reversal of 613486089216 is 612980684316.

613486089216 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 8 + 608 + 9 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×6134860892162 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613486089211) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 747242086 + ... + 747242906.

Almost surely, 2613486089216 is an apocalyptic number.

613486089216 is a gapful number since it is divisible by the number (66) 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 613486089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235887942464).

613486089216 is an abundant number, since it is smaller than the sum of its proper divisors (1858289795712).

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

613486089216 is a wasteful number, since it uses less digits than its factorization.

613486089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 613486089216 in words is "six hundred thirteen billion, four hundred eighty-six million, eighty-nine thousand, two hundred sixteen".