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231566134337048 = 23717601686958921
BaseRepresentation
bin110100101001101110110001…
…001011011101111000011000
31010100220111200001101100222202
4310221232301023131320120
5220322434420342241143
62140300002530505332
766530046452151620
oct6451566113357030
91110814601340882
10231566134337048
1167869711a09a95
1221b7b099a35248
139c29792414234
144127c09aab880
151bb8877286ab8
hexd29bb12dde18

231566134337048 has 128 divisors (see below), whose sum is σ = 526361916124800. Its totient is φ = 93234253824000.

The previous prime is 231566134337011. The next prime is 231566134337051. The reversal of 231566134337048 is 840733431665132.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 231566134336984 and 231566134337002.

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, 3930082628 + ... + 3930141548.

It is an arithmetic number, because the mean of its divisors is an integer number (4112202469725).

Almost surely, 2231566134337048 is an apocalyptic number.

231566134337048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231566134337048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263180958062400).

231566134337048 is an abundant number, since it is smaller than the sum of its proper divisors (294795781787752).

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

231566134337048 is a wasteful number, since it uses less digits than its factorization.

231566134337048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66421 (or 66417 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 56.

The spelling of 231566134337048 in words is "two hundred thirty-one trillion, five hundred sixty-six billion, one hundred thirty-four million, three hundred thirty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 601 952 1202 2404 4207 4808 6869 8414 10217 13738 16828 20434 27476 33656 40868 48083 54952 58921 71519 81736 96166 116773 117842 143038 192332 233546 235684 286076 384664 412447 467092 471368 572152 817411 824894 934184 1001657 1634822 1649788 2003314 3269644 3299576 4006628 4128269 6539288 7011599 8013256 8256538 14023198 16513076 28046396 28897883 33026152 35411521 56092792 57795766 70180573 70823042 115591532 140361146 141646084 231183064 247880647 280722292 283292168 404728349 491264011 495761294 561444584 601995857 809456698 982528022 991522588 1203991714 1618913396 1965056044 1983045176 2407983428 2833098443 3237826792 3930112088 4213970999 4815966856 5666196886 6880381933 8427941998 11332393772 13760763866 16855883996 22664787544 27521527732 33711767992 48162673531 55043055464 96325347062 192650694124 243241737749 385301388248 486483475498 972966950996 1702692164243 1945933901992 3405384328486 4135109541733 6810768656972 8270219083466 13621537313944 16540438166932 28945766792131 33080876333864 57891533584262 115783067168524 231566134337048