Search a number
-
+
10110335064 = 23317474391201
BaseRepresentation
bin10010110101001111…
…10111100001011000
3222002121101020101020
421122213313201120
5131201221210224
64351123322440
7505354300344
oct113247674130
928077336336
1010110335064
114319025415
121b61b20420
13c5180c1ab
146bca84624
153e2904c79
hex25a9f7858

10110335064 has 128 divisors (see below), whose sum is σ = 27417139200. Its totient is φ = 3094732800.

The previous prime is 10110335057. The next prime is 10110335069. The reversal of 10110335064 is 46053301101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110335069) 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, 8417664 + ... + 8418864.

It is an arithmetic number, because the mean of its divisors is an integer number (214196400).

Almost surely, 210110335064 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 10110335064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708569600).

10110335064 is an abundant number, since it is smaller than the sum of its proper divisors (17306804136).

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

10110335064 is a wasteful number, since it uses less digits than its factorization.

10110335064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10110335064 its reverse (46053301101), we get a palindrome (56163636165).

The spelling of 10110335064 in words is "ten billion, one hundred ten million, three hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 439 564 799 878 1128 1201 1317 1598 1756 2397 2402 2634 3196 3512 3603 4794 4804 5268 6392 7206 7463 9588 9608 10536 14412 14926 19176 20417 20633 22389 28824 29852 40834 41266 44778 56447 59704 61251 61899 81668 82532 89556 112894 122502 123798 163336 165064 169341 179112 225788 245004 247596 338682 350761 451576 490008 495192 527239 677364 701522 959599 1052283 1054478 1354728 1403044 1581717 1919198 2104566 2108956 2806088 2878797 3163434 3838396 4209132 4217912 5757594 6326868 7676792 8418264 8963063 11515188 12653736 17926126 23030376 24780233 26889189 35852252 49560466 53778378 71704504 74340699 99120932 107556756 148681398 198241864 215113512 297362796 421263961 594725592 842527922 1263791883 1685055844 2527583766 3370111688 5055167532 10110335064