Search a number
-
+
1660135720320 = 2736571124201
BaseRepresentation
bin11000001010000111110…
…011001100010110000000
312212201002201020121000000
4120022013303030112000
5204144424221022240
63310353354000000
7230640465535560
oct30120763142600
95781081217000
101660135720320
11590072375200
122298b4116000
13c071c8225bc
145a4cb1ccda0
152d2b5be5430
hex18287ccc580

1660135720320 has 1344 divisors, whose sum is σ = 7476688185120. Its totient is φ = 344881152000.

The previous prime is 1660135720303. The next prime is 1660135720337. The reversal of 1660135720320 is 230275310661.

1660135720320 is a `hidden beast` number, since 1 + 6 + 60 + 1 + 3 + 572 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1660135720303) and next prime (1660135720337).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 395174220 + ... + 395178420.

Almost surely, 21660135720320 is an apocalyptic number.

1660135720320 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 1660135720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738344092560).

1660135720320 is an abundant number, since it is smaller than the sum of its proper divisors (5816552464800).

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

1660135720320 is an equidigital number, since it uses as much as digits as its factorization.

1660135720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1660135720320 in words is "one trillion, six hundred sixty billion, one hundred thirty-five million, seven hundred twenty thousand, three hundred twenty".