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6230887740000 = 253454711219239
BaseRepresentation
bin101101010101011110111…
…0110011011001001100000
3211001200000021120000010000
41122222331312123021200
51304041324230140000
621130232540340000
71212111130631250
oct132527566331140
924050007500100
106230887740000
111a92560765900
12847707844600
133627549372b1
141778101a3960
15ac12de40000
hex5aabdd9b260

6230887740000 has 3600 divisors, whose sum is σ = 30406036953600. Its totient is φ = 1221454080000.

The previous prime is 6230887739977. The next prime is 6230887740001. The reversal of 6230887740000 is 477880326.

It is a happy number.

6230887740000 is a `hidden beast` number, since 6 + 230 + 8 + 8 + 7 + 7 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6230887740001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 26070659881 + ... + 26070660119.

It is an arithmetic number, because the mean of its divisors is an integer number (8446121376).

Almost surely, 26230887740000 is an apocalyptic number.

6230887740000 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 6230887740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203018476800).

6230887740000 is an abundant number, since it is smaller than the sum of its proper divisors (24175149213600).

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

6230887740000 is a wasteful number, since it uses less digits than its factorization.

6230887740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6230887740000 in words is "six trillion, two hundred thirty billion, eight hundred eighty-seven million, seven hundred forty thousand".