Search a number
-
+
23078078064 = 243424377307
BaseRepresentation
bin10101011111100011…
…111000011001110000
32012120100110211120000
4111133203320121300
5334230441444224
614334003150000
71444616266266
oct253743703160
965510424500
1023078078064
119872a78698
124580975300
13223a2c87c2
14118d014436
159010d40c9
hex55f8f8670

23078078064 has 100 divisors (see below), whose sum is σ = 66831206904. Its totient is φ = 7688483712.

The previous prime is 23078078059. The next prime is 23078078141. The reversal of 23078078064 is 46087087032.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 3154699 + ... + 3162005.

Almost surely, 223078078064 is an apocalyptic number.

23078078064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23078078064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415603452).

23078078064 is an abundant number, since it is smaller than the sum of its proper divisors (43753128840).

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

23078078064 is a wasteful number, since it uses less digits than its factorization.

23078078064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 23078078064 in words is "twenty-three billion, seventy-eight million, seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2437 4874 7307 7311 9748 14614 14622 19496 21921 21933 29228 29244 38992 43842 43866 58456 58488 65763 65799 87684 87732 116912 116976 131526 131598 175368 175464 197289 197397 263052 263196 350736 350928 394578 394794 526104 526392 591867 789156 789588 1052208 1052784 1183734 1578312 1579176 2367468 3156624 3158352 4734936 9469872 17807159 35614318 53421477 71228636 106842954 142457272 160264431 213685908 284914544 320528862 427371816 480793293 641057724 854743632 961586586 1282115448 1442379879 1923173172 2564230896 2884759758 3846346344 5769519516 7692692688 11539039032 23078078064