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23848141986 = 235372415503
BaseRepresentation
bin10110001101011101…
…011100010010100010
32021120000111010200000
4112031131130102202
5342320111020421
614542232240430
71502656601514
oct261535342242
967500433600
1023848141986
11a128722059
124756840116
1323309c9826
1412233c9bb4
159489e6226
hex58d75c4a2

23848141986 has 96 divisors (see below), whose sum is σ = 55271344128. Its totient is φ = 7701039360.

The previous prime is 23848141927. The next prime is 23848141987. The reversal of 23848141986 is 68914184832.

It is a happy number.

23848141986 is a `hidden beast` number, since 2 + 38 + 481 + 41 + 98 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23848141987) 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 47 ways as a sum of consecutive naturals, for example, 4330911 + ... + 4336413.

It is an arithmetic number, because the mean of its divisors is an integer number (575743168).

Almost surely, 223848141986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23848141986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27635672064).

23848141986 is an abundant number, since it is smaller than the sum of its proper divisors (31423202142).

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

23848141986 is a wasteful number, since it uses less digits than its factorization.

23848141986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5786 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 23848141986 in words is "twenty-three billion, eight hundred forty-eight million, one hundred forty-one thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 241 243 333 482 486 666 723 999 1446 1998 2169 2997 4338 5503 5994 6507 8917 8991 11006 13014 16509 17834 17982 19521 26751 33018 39042 49527 53502 58563 80253 99054 117126 148581 160506 203611 240759 297162 407222 445743 481518 610833 722277 891486 1221666 1326223 1337229 1444554 1832499 2166831 2652446 2674458 3664998 3978669 4333662 5497497 7957338 10994994 11936007 16492491 23872014 32984982 35808021 49070251 49477473 71616042 98140502 98954946 107424063 147210753 214848126 294421506 322272189 441632259 644544378 883264518 1324896777 2649793554 3974690331 7949380662 11924070993 23848141986