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5066434512 = 2432195334939
BaseRepresentation
bin1001011011111101…
…11010011111010000
3111002002101112120200
410231332322133100
540334001401022
62154423135200
7236356661046
oct45576723720
914062345520
105066434512
11216a963267
12b948a4500
1362984c559
14360c36396
151e9bcabac
hex12dfba7d0

5066434512 has 120 divisors (see below), whose sum is σ = 15207285600. Its totient is φ = 1569694464.

The previous prime is 5066434487. The next prime is 5066434517. The reversal of 5066434512 is 2154346605.

5066434512 is a `hidden beast` number, since 5 + 0 + 6 + 643 + 4 + 5 + 1 + 2 = 666.

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 (5066434517) 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, 127539 + ... + 162477.

It is an arithmetic number, because the mean of its divisors is an integer number (126727380).

Almost surely, 25066434512 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 5066434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603642800).

5066434512 is an abundant number, since it is smaller than the sum of its proper divisors (10140851088).

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

5066434512 is a wasteful number, since it uses less digits than its factorization.

5066434512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35025 (or 35016 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5066434512 is about 71178.8909157764. The cubic root of 5066434512 is about 1717.5160774732.

The spelling of 5066434512 in words is "five billion, sixty-six million, four hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3816 4028 6042 7632 8056 9063 12084 16112 18126 24168 34939 36252 48336 69878 72504 104817 139756 145008 209634 279512 314451 419268 559024 628902 663841 838536 1257804 1327682 1677072 1851767 1991523 2515608 2655364 3703534 3983046 5031216 5310728 5555301 5974569 7407068 7966092 10621456 11110602 11949138 14814136 15932184 16665903 22221204 23898276 29628272 31864368 33331806 35183573 44442408 47796552 66663612 70367146 88884816 95593104 105550719 133327224 140734292 211101438 266654448 281468584 316652157 422202876 562937168 633304314 844405752 1266608628 1688811504 2533217256 5066434512