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2071681878 = 237261711627
BaseRepresentation
bin111101101111011…
…0101101101010110
312100101020100021110
41323132311231112
513220322310003
6541323155450
7102224001600
oct17336655526
95311210243
102071681878
11973457292
12499975b86
13270284586
141591d8170
15c1d21a03
hex7b7b5b56

2071681878 has 96 divisors (see below), whose sum is σ = 4970896128. Its totient is φ = 573652800.

The previous prime is 2071681877. The next prime is 2071681943. The reversal of 2071681878 is 8781861702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071681877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272501 + ... + 1274127.

It is an arithmetic number, because the mean of its divisors is an integer number (51780168).

Almost surely, 22071681878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071681878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485448064).

2071681878 is an abundant number, since it is smaller than the sum of its proper divisors (2899214250).

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

2071681878 is a wasteful number, since it uses less digits than its factorization.

2071681878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The square root of 2071681878 is about 45515.7322032723. The cubic root of 2071681878 is about 1274.7969694398.

The spelling of 2071681878 in words is "two billion, seventy-one million, six hundred eighty-one thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 61 71 98 122 142 147 183 213 294 366 426 427 497 854 994 1281 1491 1627 2562 2982 2989 3254 3479 4331 4881 5978 6958 8662 8967 9762 10437 11389 12993 17934 20874 22778 25986 30317 34167 60634 68334 79723 90951 99247 115517 159446 181902 198494 212219 231034 239169 297741 346551 424438 478338 595482 636657 693102 694729 808619 1273314 1389458 1617238 2084187 2425857 4168374 4851714 4863103 5660333 7046537 9726206 11320666 14093074 14589309 16980999 21139611 29178618 33961998 42279222 49325759 98651518 147977277 295954554 345280313 690560626 1035840939 2071681878