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12434015016 = 23321710158509
BaseRepresentation
bin10111001010010000…
…00000001100101000
31012002112210102000200
423211020000030220
5200431101440031
65413452032200
7620061245433
oct134510001450
935075712020
1012434015016
11530074a575
1224b0162660
131232055747
1485d51881a
154cb9028e6
hex2e5200328

12434015016 has 48 divisors (see below), whose sum is σ = 35656370100. Its totient is φ = 3900867072.

The previous prime is 12434014933. The next prime is 12434015023. The reversal of 12434015016 is 61051043421.

It is a happy number.

12434015016 is a `hidden beast` number, since 1 + 243 + 401 + 5 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11782234116 + 651780900 = 108546^2 + 25530^2 .

It is a super-2 number, since 2×124340150162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5078031 + ... + 5080478.

Almost surely, 212434015016 is an apocalyptic number.

It is an amenable number.

12434015016 is an abundant number, since it is smaller than the sum of its proper divisors (23222355084).

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

12434015016 is a wasteful number, since it uses less digits than its factorization.

12434015016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158538 (or 10158531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12434015016 its reverse (61051043421), we get a palindrome (73485058437).

The spelling of 12434015016 in words is "twelve billion, four hundred thirty-four million, fifteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10158509 20317018 30475527 40634036 60951054 81268072 91426581 121902108 172694653 182853162 243804216 345389306 365706324 518083959 690778612 731412648 1036167918 1381557224 1554251877 2072335836 3108503754 4144671672 6217007508 12434015016