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12432987200 = 26527770617
BaseRepresentation
bin10111001010001000…
…00101010001000000
31012002110212012010102
423211010011101000
5200430321042300
65413414021532
7620046435044
oct134504052100
935073765112
1012432987200
115300108337
1224ab9478a8
131231a8597a
1485d32c024
154cb79d0d5
hex2e5105440

12432987200 has 42 divisors (see below), whose sum is σ = 30592923066. Its totient is φ = 4973194240.

The previous prime is 12432987167. The next prime is 12432987257. The reversal of 12432987200 is 278923421.

It can be written as a sum of positive squares in 3 ways, for example, as 2514420736 + 9918566464 = 50144^2 + 99592^2 .

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 5 ways as a sum of consecutive naturals, for example, 3883709 + ... + 3886908.

Almost surely, 212432987200 is an apocalyptic number.

12432987200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432987200 is an abundant number, since it is smaller than the sum of its proper divisors (18159935866).

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

12432987200 is an equidigital number, since it uses as much as digits as its factorization.

12432987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770639 (or 7770624 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 12432987200 in words is "twelve billion, four hundred thirty-two million, nine hundred eighty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7770617 15541234 31082468 38853085 62164936 77706170 124329872 155412340 194265425 248659744 310824680 388530850 497319488 621649360 777061700 1243298720 1554123400 2486597440 3108246800 6216493600 12432987200