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24942483840 = 27351312757
BaseRepresentation
bin10111001110101100…
…000001100110000000
32101101021200110110210
4113032230001212000
5402040233440330
615243003554120
71542045420531
oct271654014600
971337613423
1024942483840
11a63a42230a
124a0122b940
132476648ca1
1412c8894688
159aeb108b0
hex5ceb01980

24942483840 has 192 divisors, whose sum is σ = 80221535280. Its totient is φ = 6591836160.

The previous prime is 24942483773. The next prime is 24942483887. The reversal of 24942483840 is 4838424942.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×249424838402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 24942483840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32948742 + ... + 32949498.

Almost surely, 224942483840 is an apocalyptic number.

24942483840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24942483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40110767640).

24942483840 is an abundant number, since it is smaller than the sum of its proper divisors (55279051440).

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

24942483840 is an equidigital number, since it uses as much as digits as its factorization.

24942483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 24942483840 in words is "twenty-four billion, nine hundred forty-two million, four hundred eighty-three thousand, eight hundred forty".