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24198689142 = 2331961386647
BaseRepresentation
bin10110100010010110…
…101011000101110110
32022110110002202222000
4112202112223011312
5344024331023032
615041113520130
71514444315055
oct264226530566
968413082860
1024198689142
11a298590351
124834113046
132388514a94
141257b9a39c
1596968be7c
hex5a25ab176

24198689142 has 64 divisors (see below), whose sum is σ = 57533222400. Its totient is φ = 7516398240.

The previous prime is 24198689131. The next prime is 24198689143.

It is a happy number.

24198689142 is a `hidden beast` number, since 2 + 419 + 8 + 6 + 89 + 142 = 666.

24198689142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×241986891422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24198689143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130738 + ... + 255909.

It is an arithmetic number, because the mean of its divisors is an integer number (898956600).

Almost surely, 224198689142 is an apocalyptic number.

24198689142 is an abundant number, since it is smaller than the sum of its proper divisors (33334533258).

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

24198689142 is a wasteful number, since it uses less digits than its factorization.

24198689142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386738 (or 386732 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 24198689142 in words is "twenty-four billion, one hundred ninety-eight million, six hundred eighty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 2318 3294 3477 6954 10431 20862 31293 62586 386647 773294 1159941 2319882 3479823 6959646 7346293 10439469 14692586 20878938 22038879 23585467 44077758 47170934 66116637 70756401 132233274 141512802 198349911 212269203 396699822 424538406 448123873 636807609 896247746 1273615218 1344371619 2688743238 4033114857 8066229714 12099344571 24198689142