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24968149398 = 236155311027
BaseRepresentation
bin10111010000001101…
…111011100110010110
32101110001222102000000
4113100031323212112
5402113321240043
615245322032130
71542506524323
oct272015734626
971401872000
1024968149398
11a652962215
124a09948646
13247ba640ca
1412cc055b4a
159b1ed02d3
hex5d037b996

24968149398 has 56 divisors (see below), whose sum is σ = 56193901848. Its totient is φ = 8316603072.

The previous prime is 24968149361. The next prime is 24968149403. The reversal of 24968149398 is 89394186942.

24968149398 is a `hidden beast` number, since 2 + 49 + 68 + 149 + 398 = 666.

24968149398 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2258761 + ... + 2269787.

It is an arithmetic number, because the mean of its divisors is an integer number (1003462533).

Almost surely, 224968149398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24968149398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28096950924).

24968149398 is an abundant number, since it is smaller than the sum of its proper divisors (31225752450).

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

24968149398 is a wasteful number, since it uses less digits than its factorization.

24968149398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12600 (or 12585 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 24968149398 in words is "twenty-four billion, nine hundred sixty-eight million, one hundred forty-nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1553 3106 4659 9318 11027 13977 22054 27954 33081 41931 66162 83862 99243 125793 198486 251586 297729 377379 595458 754758 893187 1132137 1786374 2264274 2679561 5359122 8038683 16077366 17124931 34249862 51374793 102749586 154124379 308248758 462373137 924746274 1387119411 2774238822 4161358233 8322716466 12484074699 24968149398