Search a number
-
+
6700401216000 = 293353172347211
BaseRepresentation
bin110000110000000111100…
…0010001100101000000000
3212201112220110222211112000
41201200033002030220000
51334234410202403000
622130042151504000
71261042121422512
oct141401702145000
925645813884460
106700401216000
112153695897618
129026ba988000
13397aca97594b
141924304d3bb2
15b945d394000
hex6180f08ca00

6700401216000 has 2560 divisors, whose sum is σ = 28062158192640. Its totient is φ = 1566867456000.

The previous prime is 6700401215987. The next prime is 6700401216013. The reversal of 6700401216000 is 6121040076.

6700401216000 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 40 + 12 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6700401215987) and next prime (6700401216013).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31755455895 + ... + 31755456105.

It is an arithmetic number, because the mean of its divisors is an integer number (10961780544).

Almost surely, 26700401216000 is an apocalyptic number.

6700401216000 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 6700401216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031079096320).

6700401216000 is an abundant number, since it is smaller than the sum of its proper divisors (21361756976640).

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

6700401216000 is a wasteful number, since it uses less digits than its factorization.

6700401216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 6700401216000 its reverse (6121040076), we get a palindrome (6706522256076).

The spelling of 6700401216000 in words is "six trillion, seven hundred billion, four hundred one million, two hundred sixteen thousand".