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12442513504 = 252339074327
BaseRepresentation
bin10111001011010000…
…11011000001100000
31012010010210011202111
423211220123001200
5200440240413004
65414354125104
7620223422401
oct134550330140
935103704674
1012442513504
115305524613
1224b2b80794
131233a3ca35
148606cb9a8
154cc530a04
hex2e5a1b060

12442513504 has 48 divisors (see below), whose sum is σ = 25573701888. Its totient is φ = 5947869312.

The previous prime is 12442513487. The next prime is 12442513541. The reversal of 12442513504 is 40531524421.

It is a super-2 number, since 2×124425135042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2873389 + ... + 2877715.

It is an arithmetic number, because the mean of its divisors is an integer number (532785456).

Almost surely, 212442513504 is an apocalyptic number.

It is an amenable number.

12442513504 is an abundant number, since it is smaller than the sum of its proper divisors (13131188384).

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

12442513504 is a wasteful number, since it uses less digits than its factorization.

12442513504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 12442513504 in words is "twelve billion, four hundred forty-two million, five hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 3907 4327 7814 8654 15628 17308 31256 34616 62512 69232 89861 99521 125024 138464 179722 199042 359444 398084 718888 796168 1437776 1592336 2875552 3184672 16905589 33811178 67622356 135244712 270489424 388828547 540978848 777657094 1555314188 3110628376 6221256752 12442513504