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6005989950912 = 263373731271093
BaseRepresentation
bin101011101100110000011…
…1001011100010111000000
3210021011111202200120211000
41113121200321130113000
51241400231411412122
620435040320252000
71156630013154000
oct127314071342700
923234452616730
106005989950912
111a0614282a206
12810001a71000
1334749331a853
1416a997544000
15a6369c880ac
hex57660e5c5c0

6005989950912 has 896 divisors, whose sum is σ = 21056331776000. Its totient is φ = 1677627334656.

The previous prime is 6005989950911. The next prime is 6005989950923. The reversal of 6005989950912 is 2190599895006.

6005989950912 is a `hidden beast` number, since 60 + 0 + 59 + 8 + 9 + 9 + 509 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6005989950912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005989950911) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5494958238 + ... + 5494959330.

Almost surely, 26005989950912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005989950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528165888000).

6005989950912 is an abundant number, since it is smaller than the sum of its proper divisors (15050341825088).

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

6005989950912 is a wasteful number, since it uses less digits than its factorization.

6005989950912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 6005989950912 in words is "six trillion, five billion, nine hundred eighty-nine million, nine hundred fifty thousand, nine hundred twelve".