Search a number
-
+
16067070566064 = 2433741191678481
BaseRepresentation
bin1110100111001110100000…
…0010001001111010110000
32002212222220202212120201000
43221303220002021322300
54101220330031103224
654101035455042000
73245543662304430
oct351635002117260
962788822776630
1016067070566064
115135008515461
121975aa5510300
138c716ca577ab
143d791685a2c0
151cce1c2360c9
hexe9ce8089eb0

16067070566064 has 320 divisors, whose sum is σ = 54275086172160. Its totient is φ = 4455171072000.

The previous prime is 16067070566033. The next prime is 16067070566111. The reversal of 16067070566064 is 46066507076061.

It is a happy number.

16067070566064 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 7 + 0 + 70 + 566 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16067070566064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23341704 + ... + 24020184.

It is an arithmetic number, because the mean of its divisors is an integer number (169609644288).

Almost surely, 216067070566064 is an apocalyptic number.

16067070566064 is a gapful number since it is divisible by the number (14) 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 16067070566064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27137543086080).

16067070566064 is an abundant number, since it is smaller than the sum of its proper divisors (38208015606096).

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

16067070566064 is a wasteful number, since it uses less digits than its factorization.

16067070566064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678737 (or 678725 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 16067070566064 in words is "sixteen trillion, sixty-seven billion, seventy million, five hundred sixty-six thousand, sixty-four".