Search a number
-
+
16520122368 = 212341729101
BaseRepresentation
bin11110110001010110…
…10001000000000000
31120122022112011120000
433120223101000000
5232313122403433
611331135320000
71123245503031
oct173053210000
946568464500
1016520122368
1170081a64a2
123250680000
131733765349
14b2a084a88
1566a4d6113
hex3d8ad1000

16520122368 has 520 divisors, whose sum is σ = 54590393880. Its totient is φ = 4954521600.

The previous prime is 16520122361. The next prime is 16520122391. The reversal of 16520122368 is 86322102561.

16520122368 is a `hidden beast` number, since 1 + 6 + 520 + 122 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9252900864 + 7267221504 = 96192^2 + 85248^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16520122361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163565518 + ... + 163565618.

Almost surely, 216520122368 is an apocalyptic number.

16520122368 is a gapful number since it is divisible by the number (18) 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 16520122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27295196940).

16520122368 is an abundant number, since it is smaller than the sum of its proper divisors (38070271512).

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

16520122368 is a wasteful number, since it uses less digits than its factorization.

16520122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16520122368 in words is "sixteen billion, five hundred twenty million, one hundred twenty-two thousand, three hundred sixty-eight".