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2085791196 = 2231941435189
BaseRepresentation
bin111110001010010…
…1010010111011100
312101100210011121210
41330110222113130
513232430304241
6542545424420
7102454634616
oct17424522734
95340704553
102085791196
11980413885
124a263b110
13273184698
1415b02bdb6
15c31ac316
hex7c52a5dc

2085791196 has 96 divisors (see below), whose sum is σ = 5371027200. Its totient is φ = 627540480.

The previous prime is 2085791189. The next prime is 2085791233. The reversal of 2085791196 is 6911975802.

It is a super-2 number, since 2×20857911962 = 8701049826622220832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399370 + ... + 404558.

It is an arithmetic number, because the mean of its divisors is an integer number (55948200).

Almost surely, 22085791196 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 2085791196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685513600).

2085791196 is an abundant number, since it is smaller than the sum of its proper divisors (3285236004).

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

2085791196 is a wasteful number, since it uses less digits than its factorization.

2085791196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 2085791196 is about 45670.4630587429. The cubic root of 2085791196 is about 1277.6844521586.

The spelling of 2085791196 in words is "two billion, eighty-five million, seven hundred ninety-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 41 43 57 76 82 86 114 123 129 164 172 228 246 258 492 516 779 817 1558 1634 1763 2337 2451 3116 3268 3526 4674 4902 5189 5289 7052 9348 9804 10378 10578 15567 20756 21156 31134 33497 62268 66994 98591 100491 133988 197182 200982 212749 223127 295773 394364 401964 425498 446254 591546 638247 669381 850996 892508 1183092 1276494 1338762 2552988 2677524 4042231 4239413 8084462 8478826 9148207 12126693 12718239 16168924 16957652 18296414 24253386 25436478 27444621 36592828 48506772 50872956 54889242 109778484 173815933 347631866 521447799 695263732 1042895598 2085791196