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2077366986 = 234177310333
BaseRepresentation
bin111101111010010…
…0001101011001010
312100202221011210000
41323310201223022
513223301220421
6542045103430
7102323220342
oct17364415312
95322834700
102077366986
1197668a622
1249b857b76
132714c5146
14159c77d22
15c2596226
hex7bd21aca

2077366986 has 80 divisors (see below), whose sum is σ = 4996654344. Its totient is φ = 642733056.

The previous prime is 2077366943. The next prime is 2077367011. The reversal of 2077366986 is 6896637702.

It can be written as a sum of positive squares in 4 ways, for example, as 2061614025 + 15752961 = 45405^2 + 3969^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 195876 + ... + 206208.

Almost surely, 22077366986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077366986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498327172).

2077366986 is an abundant number, since it is smaller than the sum of its proper divisors (2919287358).

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

2077366986 is a wasteful number, since it uses less digits than its factorization.

2077366986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2077366986 is about 45578.1415373642. The cubic root of 2077366986 is about 1275.9620033857.

The spelling of 2077366986 in words is "two billion, seventy-seven million, three hundred sixty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 81 102 146 153 162 219 306 438 459 657 918 1241 1314 1377 1971 2482 2754 3723 3942 5913 7446 10333 11169 11826 20666 22338 30999 33507 61998 67014 92997 100521 175661 185994 201042 278991 351322 526983 557982 754309 836973 1053966 1508618 1580949 1673946 2262927 3161898 4525854 4742847 6788781 9485694 12823253 13577562 14228541 20366343 25646506 28457082 38469759 40732686 61099029 76939518 115409277 122198058 230818554 346227831 692455662 1038683493 2077366986