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6187104000000 = 211345671131
BaseRepresentation
bin101101000001000110000…
…1000101101100000000000
3210220110222220201120010000
41122002030020231200000
51302332142111000000
621054152155040000
71206001130162430
oct132021410554000
923813886646100
106187104000000
111a75a32a01a10
1283b128740000
1335b5979c1631
141756592982c0
15aae1a1a0000
hex5a08c22d800

6187104000000 has 3360 divisors, whose sum is σ = 29729319459840. Its totient is φ = 1244160000000.

The previous prime is 6187103999971. The next prime is 6187104000001. The reversal of 6187104000000 is 4017816.

It is a happy number.

6187104000000 is a `hidden beast` number, since 618 + 7 + 1 + 0 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6187104000001) 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 279 ways as a sum of consecutive naturals, for example, 199583999985 + ... + 199584000015.

It is an arithmetic number, because the mean of its divisors is an integer number (8848011744).

Almost surely, 26187104000000 is an apocalyptic number.

6187104000000 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 6187104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864659729920).

6187104000000 is an abundant number, since it is smaller than the sum of its proper divisors (23542215459840).

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

6187104000000 is an frugal number, since it uses more digits than its factorization.

6187104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 6187104000000 its reverse (4017816), we get a palindrome (6187108017816).

The spelling of 6187104000000 in words is "six trillion, one hundred eighty-seven billion, one hundred four million", and thus it is an aban number.