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5065067412 = 2232613137369
BaseRepresentation
bin1001011011110011…
…01100101110010100
3111001222211002021100
410231321230232110
540333124124122
62154333550100
7236342235246
oct45571545624
914058732240
105065067412
11216a10a129
12b94345330
13629491212
1436099c096
151e9a0aaac
hex12de6cb94

5065067412 has 72 divisors (see below), whose sum is σ = 13056603560. Its totient is φ = 1655147520.

The previous prime is 5065067411. The next prime is 5065067503. The reversal of 5065067412 is 2147605605.

It is a happy number.

5065067412 is a `hidden beast` number, since 506 + 50 + 67 + 41 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 5064599556 = 684^2 + 71166^2 .

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 (5065067411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683664 + ... + 691032.

Almost surely, 25065067412 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 5065067412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528301780).

5065067412 is an abundant number, since it is smaller than the sum of its proper divisors (7991536148).

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

5065067412 is a wasteful number, since it uses less digits than its factorization.

5065067412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5065067412 is about 71169.2869993792. The cubic root of 5065067412 is about 1717.3615817460.

The spelling of 5065067412 in words is "five billion, sixty-five million, sixty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 313 366 549 626 732 939 1098 1252 1878 2196 2817 3756 5634 7369 11268 14738 19093 22107 29476 38186 44214 57279 66321 76372 88428 114558 132642 171837 229116 265284 343674 449509 687348 899018 1348527 1798036 2306497 2697054 4045581 4612994 5394108 6919491 8091162 9225988 13838982 16182324 20758473 27677964 41516946 83033892 140696317 281392634 422088951 562785268 844177902 1266266853 1688355804 2532533706 5065067412