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1068566466000 = 2435311311015171
BaseRepresentation
bin11111000110010111000…
…01100100110111010000
310210011011020022210101210
433203023201210313100
5120001411003403000
62134520451500120
7140126034045165
oct17431341446720
93704136283353
101068566466000
113821a3a04720
121531188b7640
13799c4723007
1439a0c8dc06c
151cbe10ab350
hexf8cb864dd0

1068566466000 has 640 divisors, whose sum is σ = 3918647476224. Its totient is φ = 248160000000.

The previous prime is 1068566465977. The next prime is 1068566466001. The reversal of 1068566466000 is 6646658601.

1068566466000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10685664660002 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068566466001) 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, 206643415 + ... + 206648585.

Almost surely, 21068566466000 is an apocalyptic number.

1068566466000 is a gapful number since it is divisible by the number (10) 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 1068566466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959323738112).

1068566466000 is an abundant number, since it is smaller than the sum of its proper divisors (2850081010224).

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

1068566466000 is a wasteful number, since it uses less digits than its factorization.

1068566466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1068566466000 in words is "one trillion, sixty-eight billion, five hundred sixty-six million, four hundred sixty-six thousand".