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6868900906560 = 2631057114721
BaseRepresentation
bin110001111110100101001…
…1001100000011001000000
3220022122211111220000000000
41203331022121200121000
51400020002113002220
622335310213000000
71306155524233620
oct143751231403100
926278744800000
106868900906560
1122090a2543030
1292b2a5023000
133aa971b2c964
1419a656bc6880
15bda21133390
hex63f4a660640

6868900906560 has 1232 divisors, whose sum is σ = 30595217277312. Its totient is φ = 1427001753600.

The previous prime is 6868900906547. The next prime is 6868900906583. The reversal of 6868900906560 is 656090098686.

6868900906560 is a `hidden beast` number, since 6 + 8 + 68 + 9 + 0 + 0 + 9 + 0 + 6 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1454965000 + ... + 1454969720.

Almost surely, 26868900906560 is an apocalyptic number.

6868900906560 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 6868900906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297608638656).

6868900906560 is an abundant number, since it is smaller than the sum of its proper divisors (23726316370752).

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

6868900906560 is an equidigital number, since it uses as much as digits as its factorization.

6868900906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 6868900906560 in words is "six trillion, eight hundred sixty-eight billion, nine hundred million, nine hundred six thousand, five hundred sixty".