Search a number
-
+
6110001000000 = 2632561935731
BaseRepresentation
bin101100011101001100001…
…1100000110111001000000
3210122002222110211100000100
41120322120130012321000
51300101240224000000
620554521250122400
71200301343405112
oct130723034067100
923562873740010
106110001000000
111a46267305907
128281aab80400
1335422ab19c01
14171a231933b2
15a8e061cba00
hex58e98706e40

6110001000000 has 588 divisors, whose sum is σ = 23044053469840. Its totient is φ = 1543536000000.

The previous prime is 6110000999983. The next prime is 6110001000001. The reversal of 6110001000000 is 1000116.

It is a super-2 number, since 2×61100010000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (6110001000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 170982135 + ... + 171017865.

Almost surely, 26110001000000 is an apocalyptic number.

6110001000000 is a gapful number since it is divisible by the number (60) 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 6110001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522026734920).

6110001000000 is an abundant number, since it is smaller than the sum of its proper divisors (16934052469840).

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

6110001000000 is an equidigital number, since it uses as much as digits as its factorization.

6110001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35798 (or 35760 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 6110001000000 its reverse (1000116), we get a palindrome (6110002000116).

The spelling of 6110001000000 in words is "six trillion, one hundred ten billion, one million", and thus it is an aban number.