Search a number
-
+
323613412056 = 233311972114011
BaseRepresentation
bin1001011010110001101…
…11001100101011011000
31010221022011201122111000
410231120313030223120
520300230013141211
6404355502305000
732244304421304
oct4553067145330
91127264648430
10323613412056
11115275375280
1252875588160
132469400128c
141193d2a8d04
15864078a656
hex4b58dccad8

323613412056 has 128 divisors (see below), whose sum is σ = 980817580800. Its totient is φ = 98047584000.

The previous prime is 323613412033. The next prime is 323613412069. The reversal of 323613412056 is 650214316323.

323613412056 is a `hidden beast` number, since 3 + 23 + 613 + 4 + 12 + 0 + 5 + 6 = 666.

323613412056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3236134120562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 323613412056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23090091 + ... + 23104101.

It is an arithmetic number, because the mean of its divisors is an integer number (7662637350).

Almost surely, 2323613412056 is an apocalyptic number.

323613412056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

323613412056 is an abundant number, since it is smaller than the sum of its proper divisors (657204168744).

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

323613412056 is a wasteful number, since it uses less digits than its factorization.

323613412056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23758 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 323613412056 its reverse (650214316323), we get a palindrome (973827728379).

The spelling of 323613412056 in words is "three hundred twenty-three billion, six hundred thirteen million, four hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 9721 14011 19442 28022 29163 38884 42033 56044 58326 77768 84066 87489 106931 112088 116652 126099 154121 168132 174978 213862 233304 252198 262467 308242 320793 336264 349956 378297 427724 462363 504396 524934 616484 641586 699912 756594 855448 924726 962379 1008792 1049868 1232968 1283172 1387089 1513188 1849452 1924758 2099736 2566344 2774178 2887137 3026376 3698904 3849516 4161267 5548356 5774274 7699032 8322534 11096712 11548548 16645068 23097096 33290136 136200931 272401862 408602793 544803724 817205586 1089607448 1225808379 1498210241 1634411172 2451616758 2996420482 3268822344 3677425137 4494630723 4903233516 5992840964 7354850274 8989261446 9806467032 11985681928 13483892169 14709700548 17978522892 26967784338 29419401096 35957045784 40451676507 53935568676 80903353014 107871137352 161806706028 323613412056