Search a number
-
+
139635456350208 = 21137132231119949
BaseRepresentation
bin11111101111111101101001…
…110001100001100000000000
3200022102000112001001101100020
4133233331221301201200000
5121300241403311201313
61212551350523253440
741261220531266340
oct3757755161414000
9608360461041306
10139635456350208
1140546078903615
12137b235397a280
135cbb74aa07250
14266a56c0a6d20
15112238a768323
hex7eff69c61800

139635456350208 has 384 divisors, whose sum is σ = 460233865728000. Its totient is φ = 36661757607936.

The previous prime is 139635456350207. The next prime is 139635456350237. The reversal of 139635456350208 is 802053654536931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139635456350207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124120218 + ... + 125240166.

It is an arithmetic number, because the mean of its divisors is an integer number (1198525692000).

Almost surely, 2139635456350208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139635456350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230116932864000).

139635456350208 is an abundant number, since it is smaller than the sum of its proper divisors (320598409377792).

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

139635456350208 is a wasteful number, since it uses less digits than its factorization.

139635456350208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120217 (or 1120197 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 60.

The spelling of 139635456350208 in words is "one hundred thirty-nine trillion, six hundred thirty-five billion, four hundred fifty-six million, three hundred fifty thousand, two hundred eight".