Search a number
-
+
65557202040 = 233351121126153
BaseRepresentation
bin111101000011100000…
…111000010001111000
320021012210102220211000
4331003200320101320
52033230120431130
650041102205000
74510366010631
oct750340702170
9207183386730
1065557202040
1125891371220
1210856b83760
136249b7b415
14325c95a888
151a8a571260
hexf43838478

65557202040 has 256 divisors, whose sum is σ = 239528793600. Its totient is φ = 15816729600.

The previous prime is 65557202023. The next prime is 65557202041. The reversal of 65557202040 is 4020275556.

65557202040 is a `hidden beast` number, since 65 + 5 + 572 + 0 + 20 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 65557201986 and 65557202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65557202041) 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, 2493604 + ... + 2519756.

It is an arithmetic number, because the mean of its divisors is an integer number (935659350).

Almost surely, 265557202040 is an apocalyptic number.

65557202040 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 65557202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119764396800).

65557202040 is an abundant number, since it is smaller than the sum of its proper divisors (173971591560).

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

65557202040 is a wasteful number, since it uses less digits than its factorization.

65557202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395 (or 26385 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 65557202040 its reverse (4020275556), we get a palindrome (69577477596).

The spelling of 65557202040 in words is "sixty-five billion, five hundred fifty-seven million, two hundred two thousand, forty".