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8011484844 = 22311234396011
BaseRepresentation
bin1110111011000010…
…11000111010101100
3202200100000121010220
413131201120322230
5112401420003334
63402545531340
7402350332446
oct73541307254
922610017126
108011484844
113441302160
121677043b50
139a8a3479c
14560017496
1531d518449
hex1dd858eac

8011484844 has 96 divisors (see below), whose sum is σ = 21331537920. Its totient is φ = 2316494400.

The previous prime is 8011484839. The next prime is 8011484851. The reversal of 8011484844 is 4484841108.

It is a junction number, because it is equal to n+sod(n) for n = 8011484796 and 8011484805.

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, 1329799 + ... + 1335809.

It is an arithmetic number, because the mean of its divisors is an integer number (222203520).

Almost surely, 28011484844 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 8011484844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665768960).

8011484844 is an abundant number, since it is smaller than the sum of its proper divisors (13320053076).

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

8011484844 is a wasteful number, since it uses less digits than its factorization.

8011484844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 8011484844 is about 89506.8983039855. The cubic root of 8011484844 is about 2000.9566127064.

The spelling of 8011484844 in words is "eight billion, eleven million, four hundred eighty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 439 506 759 878 1012 1317 1518 1756 2634 3036 4829 5268 6011 9658 10097 12022 14487 18033 19316 20194 24044 28974 30291 36066 40388 57948 60582 66121 72132 111067 121164 132242 138253 198363 222134 264484 276506 333201 396726 414759 444268 553012 666402 793452 829518 1332804 1520783 1659036 2638829 3041566 4562349 5277658 6083132 7916487 9124698 10555316 15832974 18249396 29027119 31665948 58054238 60693067 87081357 116108476 121386134 174162714 182079201 242772268 348325428 364158402 667623737 728316804 1335247474 2002871211 2670494948 4005742422 8011484844