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11623513346055 = 32513101529737139
BaseRepresentation
bin1010100100100100111101…
…1000100101000000000111
31112011012022122000110210100
42221021033120211000013
53010414423404033210
640415433542255143
72306525332161552
oct251111730450007
945135278013710
1011623513346055
113781560294406
12137886b1274b3
136641285b9380
142c281c575699
1515254a9395c0
hexa924f625007

11623513346055 has 96 divisors (see below), whose sum is σ = 21916775724480. Its totient is φ = 5664466022400.

The previous prime is 11623513346041. The next prime is 11623513346069. The reversal of 11623513346055 is 55064331532611.

11623513346055 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 3 + 5 + 1 + 3 + 34 + 605 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11623513346041) and next prime (11623513346069).

It is not a de Polignac number, because 11623513346055 - 211 = 11623513344007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11623513346055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312954676 + ... + 312991814.

It is an arithmetic number, because the mean of its divisors is an integer number (228299747130).

Almost surely, 211623513346055 is an apocalyptic number.

11623513346055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11623513346055 is a deficient number, since it is larger than the sum of its proper divisors (10293262378425).

11623513346055 is a wasteful number, since it uses less digits than its factorization.

11623513346055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42561 (or 42558 counting only the distinct ones).

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

Adding to 11623513346055 its reverse (55064331532611), we get a palindrome (66687844878666).

The spelling of 11623513346055 in words is "eleven trillion, six hundred twenty-three billion, five hundred thirteen million, three hundred forty-six thousand, fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 195 303 505 585 909 1313 1515 3939 4545 5297 6565 11817 15891 19695 26485 37139 47673 59085 68861 79455 111417 185695 206583 238365 334251 344305 482807 534997 557085 619749 1032915 1448421 1604991 1671255 2414035 2674985 3098745 3751039 4345263 4814973 6954961 7242105 8024955 11253117 18755195 20864883 21726315 24074865 33759351 34774805 48763507 56265585 62594649 104324415 146290521 168796755 196725283 243817535 312973245 438871563 590175849 731452605 983626415 1770527547 2194357815 2557428679 2950879245 7672286037 8852637735 12787143395 19869253583 23016858111 38361430185 59607760749 99346267915 115084290555 178823282247 258300296579 298038803745 774900889737 894116411235 1291501482895 2324702669211 3874504448685 11623513346055