Search a number
-
+
116643260624 = 241117431815009
BaseRepresentation
bin110110010100001111…
…0101110100011010000
3102011002001212120201212
41230220132232203100
53402341133314444
6125330221515252
711266346233142
oct1545036564320
9364061776655
10116643260624
1145517097150
121a733712b28
13accb92a257
1459075dac92
15307a44619e
hex1b287ae8d0

116643260624 has 160 divisors (see below), whose sum is σ = 268644055680. Its totient is φ = 48461414400.

The previous prime is 116643260621. The next prime is 116643260633. The reversal of 116643260624 is 426062346611.

116643260624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116643260621) 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, 23284232 + ... + 23289240.

It is an arithmetic number, because the mean of its divisors is an integer number (1679025348).

Almost surely, 2116643260624 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 116643260624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134322027840).

116643260624 is an abundant number, since it is smaller than the sum of its proper divisors (152000795056).

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

116643260624 is a wasteful number, since it uses less digits than its factorization.

116643260624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 116643260624 in words is "one hundred sixteen billion, six hundred forty-three million, two hundred sixty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 86 88 136 172 176 181 187 272 344 362 374 473 688 724 731 748 946 1448 1462 1496 1892 1991 2896 2924 2992 3077 3784 3982 5009 5848 6154 7568 7783 7964 8041 10018 11696 12308 15566 15928 16082 20036 24616 31132 31856 32164 33847 40072 49232 55099 62264 64328 67694 80144 85153 85613 110198 124528 128656 132311 135388 170306 171226 215387 220396 264622 270776 340612 342452 430774 440792 529244 541552 681224 684904 861548 881584 906629 936683 1058488 1362448 1369808 1455421 1723096 1813258 1873366 2116976 2369257 2910842 3446192 3626516 3661579 3746732 4738514 5821684 7253032 7323158 7493464 9477028 9972919 11643368 14506064 14646316 14986928 15412693 18954056 19945838 23286736 29292632 30825386 37908112 38985047 39891676 40277369 58585264 61650772 77970094 79783352 80554738 123301544 155940188 159566704 161109476 169539623 246603088 311880376 322218952 339079246 428835517 623760752 644437904 662745799 678158492 857671034 1325491598 1356316984 1715342068 2650983196 2712633968 3430684136 5301966392 6861368272 7290203789 10603932784 14580407578 29160815156 58321630312 116643260624