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2681701686 = 23217193114879
BaseRepresentation
bin1001111111010111…
…1000010100110110
320220220002120010200
42133311320110312
520443003423221
61122034101330
7123312042156
oct23765702466
96826076120
102681701686
111156829194
1262a11a846
1333977aa41
141b622c766
1510a66d426
hex9fd78536

2681701686 has 96 divisors (see below), whose sum is σ = 6685286400. Its totient is φ = 771275520.

The previous prime is 2681701661. The next prime is 2681701723. The reversal of 2681701686 is 6861071862.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 172795 + ... + 187673.

It is an arithmetic number, because the mean of its divisors is an integer number (69638400).

Almost surely, 22681701686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681701686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342643200).

2681701686 is an abundant number, since it is smaller than the sum of its proper divisors (4003584714).

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

2681701686 is a wasteful number, since it uses less digits than its factorization.

2681701686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2681701686 is about 51785.1492804646. The cubic root of 2681701686 is about 1389.3238410405.

The spelling of 2681701686 in words is "two billion, six hundred eighty-one million, seven hundred one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 19 31 34 38 51 57 62 93 102 114 153 171 186 279 306 323 342 527 558 589 646 969 1054 1178 1581 1767 1938 2907 3162 3534 4743 5301 5814 9486 10013 10602 14879 20026 29758 30039 44637 60078 89274 90117 133911 180234 252943 267822 282701 461249 505886 565402 758829 848103 922498 1383747 1517658 1696206 2276487 2544309 2767494 4151241 4552974 4805917 5088618 7841233 8302482 8763731 9611834 14417751 15682466 17527462 23523699 26291193 28835502 43253253 47047398 52582386 70571097 78873579 86506506 141142194 148983427 157747158 297966854 446950281 893900562 1340850843 2681701686