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12430510032 = 243258968959
BaseRepresentation
bin10111001001110101…
…01000011111010000
31012002022012100002110
423210322220133100
5200424202310112
65413244545320
7620016410013
oct134472503720
935068170073
1012430510032
1152a9776196
1224aab52240
1312313c92a5
1485cc8537a
154cb45e13c
hex2e4ea87d0

12430510032 has 20 divisors (see below), whose sum is σ = 32112151040. Its totient is φ = 4143503328.

The previous prime is 12430509967. The next prime is 12430510061. The reversal of 12430510032 is 23001503421.

12430510032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12430509990 and 12430510008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129484432 + ... + 129484527.

It is an arithmetic number, because the mean of its divisors is an integer number (1605607552).

Almost surely, 212430510032 is an apocalyptic number.

12430510032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430510032 is an abundant number, since it is smaller than the sum of its proper divisors (19681641008).

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

12430510032 is a wasteful number, since it uses less digits than its factorization.

12430510032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258968970 (or 258968964 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 12430510032 in words is "twelve billion, four hundred thirty million, five hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 258968959 517937918 776906877 1035875836 1553813754 2071751672 3107627508 4143503344 6215255016 12430510032