Search a number
-
+
3686997930000 = 2435471110115803
BaseRepresentation
bin110101101001110010001…
…100111011000000010000
3111001110210020002002012220
4311221302030323000100
5440401432432230000
611501441121221040
7530243150212020
oct65516214730020
914043706062186
103686997930000
1111a1713236780
124b6694191780
132098b4351ba8
14ca647493a80
1565d920db1a0
hex35a7233b010

3686997930000 has 800 divisors, whose sum is σ = 14986877064192. Its totient is φ = 758496000000.

The previous prime is 3686997929963. The next prime is 3686997930019. The reversal of 3686997930000 is 397996863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 233302099 + ... + 233317901.

Almost surely, 23686997930000 is an apocalyptic number.

3686997930000 is a gapful number since it is divisible by the number (30) 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 3686997930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493438532096).

3686997930000 is an abundant number, since it is smaller than the sum of its proper divisors (11299879134192).

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

3686997930000 is a wasteful number, since it uses less digits than its factorization.

3686997930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15953 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 3686997930000 in words is "three trillion, six hundred eighty-six billion, nine hundred ninety-seven million, nine hundred thirty thousand".