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11874243618768 = 24311315661139787
BaseRepresentation
bin1010110011001011000000…
…0100101010011111010000
31120001011111110021000202010
42230302300010222133100
53024021422331300033
641130541402222520
72333612553265356
oct254626004523720
946034443230663
1011874243618768
113868924a64323
1213b93841b4a40
13681975a5679b
142d0a05d617d6
15158d22905863
hexaccb012a7d0

11874243618768 has 80 divisors (see below), whose sum is σ = 30948788097216. Its totient is φ = 3922775377920.

The previous prime is 11874243618749. The next prime is 11874243618781. The reversal of 11874243618768 is 86781634247811.

It is a junction number, because it is equal to n+sod(n) for n = 11874243618699 and 11874243618708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84875371 + ... + 85015157.

Almost surely, 211874243618768 is an apocalyptic number.

It is an amenable number.

11874243618768 is an abundant number, since it is smaller than the sum of its proper divisors (19074544478448).

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

11874243618768 is a wasteful number, since it uses less digits than its factorization.

11874243618768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155572 (or 155566 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 66.

The spelling of 11874243618768 in words is "eleven trillion, eight hundred seventy-four billion, two hundred forty-three million, six hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 15661 31322 46983 62644 93966 125288 139787 187932 250576 279574 375864 419361 559148 751728 838722 1118296 1677444 1769693 2236592 3354888 3539386 5309079 6709776 7078772 10618158 14157544 15795931 21236316 28315088 31591862 42472632 47387793 63183724 84945264 94775586 126367448 189551172 252734896 379102344 758204688 2189204207 4378408414 6567612621 8756816828 13135225242 17513633656 26270450484 35027267312 52540900968 105081801936 247380075391 494760150782 742140226173 989520301564 1484280452346 1979040603128 2968560904692 3958081206256 5937121809384 11874243618768