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27629220861 = 32111947595297
BaseRepresentation
bin11001101110110101…
…000111001111111101
32122022112020211210100
4121232311013033331
5423041040031421
620405342031313
71665451334214
oct315665071775
978275224710
1027629220861
1110798a7a630
125430b78539
1327b416a8c8
1414a163407b
15aba925c26
hex66ed473fd

27629220861 has 96 divisors (see below), whose sum is σ = 47605708800. Its totient is φ = 15260106240.

The previous prime is 27629220803. The next prime is 27629220959. The reversal of 27629220861 is 16802292672.

It is not a de Polignac number, because 27629220861 - 213 = 27629212669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27629220061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5213365 + ... + 5218661.

It is an arithmetic number, because the mean of its divisors is an integer number (495892800).

Almost surely, 227629220861 is an apocalyptic number.

It is an amenable number.

27629220861 is a deficient number, since it is larger than the sum of its proper divisors (19976487939).

27629220861 is a wasteful number, since it uses less digits than its factorization.

27629220861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27629220861 in words is "twenty-seven billion, six hundred twenty-nine million, two hundred twenty thousand, eight hundred sixty-one".

Divisors: 1 3 9 11 19 33 47 57 59 99 141 171 177 209 423 517 531 627 649 893 1121 1551 1881 1947 2679 2773 3363 4653 5297 5841 8037 8319 9823 10089 12331 15891 24957 29469 30503 36993 47673 52687 58267 88407 91509 100643 110979 158061 174801 248959 274527 301929 312523 474183 524403 579557 746877 905787 937569 1107073 1738671 2240631 2738549 2812707 3321219 3437753 4730221 5216013 5937937 8215647 9963657 10313259 14190663 14688581 17813811 24646941 30939777 42571989 44065743 52032431 53441433 65317307 132197229 156097293 161574391 195951921 279083039 468291879 484723173 587855763 837249117 1454169519 2511747351 3069913429 9209740287 27629220861