Search a number
-
+
55331601254136 = 233310918701125669
BaseRepresentation
bin11001001010010111001000…
…11100000000011011111000
321020220122112102112110102000
430211023210130000123320
524223023104410113021
6313402553043341000
714440401442350114
oct1445134434003370
9236818472473360
1055331601254136
11166a30004638a9
126257775381760
1324b499466278c
14d940c707a744
1565e47e014b26
hex3252e47006f8

55331601254136 has 128 divisors (see below), whose sum is σ = 155118502440000. Its totient is φ = 18273534681600.

The previous prime is 55331601254131. The next prime is 55331601254161. The reversal of 55331601254136 is 63145210613355.

55331601254136 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 1 + 60 + 12 + 541 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55331601254091 and 55331601254100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55331601254131) 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, 440233510 + ... + 440359178.

Almost surely, 255331601254136 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 55331601254136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77559251220000).

55331601254136 is an abundant number, since it is smaller than the sum of its proper divisors (99786901185864).

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

55331601254136 is a wasteful number, since it uses less digits than its factorization.

55331601254136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144494 (or 144484 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55331601254136 in words is "fifty-five trillion, three hundred thirty-one billion, six hundred one million, two hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1962 2616 2943 3924 5886 7848 11772 18701 23544 37402 56103 74804 112206 125669 149608 168309 224412 251338 336618 377007 448824 502676 504927 673236 754014 1005352 1009854 1131021 1346472 1508028 2019708 2038409 2262042 3016056 3393063 4039416 4076818 4524084 6115227 6786126 8153636 9048168 12230454 13572252 13697921 16307272 18345681 24460908 27144504 27395842 36691362 41093763 48921816 54791684 55037043 73382724 82187526 109583368 110074086 123281289 146765448 164375052 220148172 246562578 328750104 369843867 440296344 493125156 739687734 986250312 1479375468 2350135969 2958750936 4700271938 7050407907 9400543876 14100815814 18801087752 21151223721 28201631628 42302447442 56403263256 63453671163 84604894884 126907342326 169209789768 253814684652 256164820621 507629369304 512329641242 768494461863 1024659282484 1536988923726 2049318564968 2305483385589 3073977847452 4610966771178 6147955694904 6916450156767 9221933542356 13832900313534 18443867084712 27665800627068 55331601254136