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24345142992 = 2432811208463
BaseRepresentation
bin10110101011000101…
…010110011011010000
32022211122200101212200
4112223011112123100
5344324324033432
615103424523200
71521203205162
oct265305263320
968748611780
1024345142992
11a363220295
124875180500
1323ac971871
14126d400932
1597746aa7c
hex5ab1566d0

24345142992 has 60 divisors (see below), whose sum is σ = 68216925504. Its totient is φ = 8105002560.

The previous prime is 24345142979. The next prime is 24345142999. The reversal of 24345142992 is 29924154342.

24345142992 is a `hidden beast` number, since 2 + 4 + 345 + 14 + 299 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24345142999) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12553 + ... + 221015.

Almost surely, 224345142992 is an apocalyptic number.

It is an amenable number.

24345142992 is an abundant number, since it is smaller than the sum of its proper divisors (43871782512).

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

24345142992 is a wasteful number, since it uses less digits than its factorization.

24345142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209288 (or 209279 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 24345142992 in words is "twenty-four billion, three hundred forty-five million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 29196 38928 58392 116784 208463 416926 625389 833852 1250778 1667704 1876167 2501556 3335408 3752334 5003112 7504668 10006224 15009336 30018672 169063493 338126986 507190479 676253972 1014380958 1352507944 1521571437 2028761916 2705015888 3043142874 4057523832 6086285748 8115047664 12172571496 24345142992