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5135650128 = 2434723151163
BaseRepresentation
bin1001100100001101…
…11100110101010000
3111020220122001120000
410302012330311100
541004211301003
62205334450000
7241160206620
oct46206746520
914226561500
105135650128
1121a5a38a54
12bb3b03900
1363aca503b
1436a0d2880
15200cee1a3
hex1321bcd50

5135650128 has 400 divisors, whose sum is σ = 17952946176. Its totient is φ = 1385683200.

The previous prime is 5135650109. The next prime is 5135650129. The reversal of 5135650128 is 8210565315.

It is a happy number.

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 = 5135650092 and 5135650101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135650129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31506975 + ... + 31507137.

Almost surely, 25135650128 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 5135650128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976473088).

5135650128 is an abundant number, since it is smaller than the sum of its proper divisors (12817296048).

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

5135650128 is a wasteful number, since it uses less digits than its factorization.

5135650128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5135650128 is about 71663.4504332578. The cubic root of 5135650128 is about 1725.3020688401.

The spelling of 5135650128 in words is "five billion, one hundred thirty-five million, six hundred fifty thousand, one hundred twenty-eight".