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24196414128 = 2433138342457
BaseRepresentation
bin10110100010001101…
…111111101010110000
32022110021211012020020
4112202031333222300
5344023240223003
615040553043440
71514416061265
oct264215775260
968407735206
1024196414128
11a297277077
1248333b6580
132387bc9413
14125776726c
1596938cd53
hex5a237fab0

24196414128 has 80 divisors (see below), whose sum is σ = 64693764096. Its totient is φ = 7784732160.

The previous prime is 24196414127. The next prime is 24196414133. The reversal of 24196414128 is 82141469142.

It is a self number, because there is not a number n which added to its sum of digits gives 24196414128.

It is not an unprimeable number, because it can be changed into a prime (24196414127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 548676 + ... + 591132.

Almost surely, 224196414128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24196414128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32346882048).

24196414128 is an abundant number, since it is smaller than the sum of its proper divisors (40497349968).

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

24196414128 is a wasteful number, since it uses less digits than its factorization.

24196414128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42882 (or 42876 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 24196414128 in words is "twenty-four billion, one hundred ninety-six million, four hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 383 496 744 766 1149 1488 1532 2298 3064 4596 6128 9192 11873 18384 23746 35619 42457 47492 71238 84914 94984 127371 142476 169828 189968 254742 284952 339656 509484 569904 679312 1018968 1316167 2037936 2632334 3948501 5264668 7897002 10529336 15794004 16261031 21058672 31588008 32522062 48783093 63176016 65044124 97566186 130088248 195132372 260176496 390264744 504091961 780529488 1008183922 1512275883 2016367844 3024551766 4032735688 6049103532 8065471376 12098207064 24196414128