Search a number
-
+
3713888356864 = 29731719233281
BaseRepresentation
bin110110000010110100111…
…111110000101000000000
3111011001012021011022011121
4312002310333300220000
5441322020404404424
611522045312322024
7532214421112000
oct66026477605000
914131167138147
103713888356864
11120206217a454
124bb939843314
1320c2ab41978a
14cba78932000
1566917c29ee4
hex360b4ff0a00

3713888356864 has 640 divisors, whose sum is σ = 9720824256000. Its totient is φ = 1408075038720.

The previous prime is 3713888356861. The next prime is 3713888356897. The reversal of 3713888356864 is 4686538883173.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3713888356793 and 3713888356802.

It is not an unprimeable number, because it can be changed into a prime (3713888356861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13216684404 + ... + 13216684684.

It is an arithmetic number, because the mean of its divisors is an integer number (15188787900).

Almost surely, 23713888356864 is an apocalyptic number.

3713888356864 is a gapful number since it is divisible by the number (34) 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 3713888356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860412128000).

3713888356864 is an abundant number, since it is smaller than the sum of its proper divisors (6006935899136).

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

3713888356864 is a wasteful number, since it uses less digits than its factorization.

3713888356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 559 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 70.

The spelling of 3713888356864 in words is "three trillion, seven hundred thirteen billion, eight hundred eighty-eight million, three hundred fifty-six thousand, eight hundred sixty-four".