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23689440824 = 2372237335993
BaseRepresentation
bin10110000100000000…
…000010111000111000
32021010221212021121012
4112010000002320320
5342003444101244
614514402533052
71466021632100
oct260400027070
967127767535
1023689440824
11a057087575
124711667188
132306b7230a
14120a2b8200
15939ae889e
hex584002e38

23689440824 has 96 divisors (see below), whose sum is σ = 54656169120. Its totient is φ = 9577903104.

The previous prime is 23689440821. The next prime is 23689440833. The reversal of 23689440824 is 42804498632.

It is a happy number.

It is a super-2 number, since 2×236894408242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23689440821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640172 + ... + 676164.

It is an arithmetic number, because the mean of its divisors is an integer number (569335095).

Almost surely, 223689440824 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 23689440824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328084560).

23689440824 is an abundant number, since it is smaller than the sum of its proper divisors (30966728296).

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

23689440824 is a wasteful number, since it uses less digits than its factorization.

23689440824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36109 (or 36098 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 23689440824 in words is "twenty-three billion, six hundred eighty-nine million, four hundred forty thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 73 92 98 146 161 184 196 292 322 392 511 584 644 1022 1127 1288 1679 2044 2254 3358 3577 4088 4508 6716 7154 9016 11753 13432 14308 23506 28616 35993 47012 71986 82271 94024 143972 164542 251951 287944 329084 503902 658168 827839 1007804 1655678 1763657 2015608 2627489 3311356 3527314 5254978 5794873 6622712 7054628 10509956 11589746 14109256 18392423 21019912 23179492 36784846 40564111 46358984 60432247 73569692 81128222 120864494 128746961 147139384 162256444 241728988 257493922 324512888 423025729 483457976 514987844 846051458 1029975688 1692102916 2961180103 3384205832 5922360206 11844720412 23689440824