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2077881696 = 253211259627
BaseRepresentation
bin111101111011001…
…1111010101100000
312100210220022211100
41323312133111200
513223414203241
6542104114400
7102330463062
oct17366372540
95323808740
102077881696
11976a01300
1249ba65a00
132716454c7
14159d6d732
15c26489b6
hex7bd9f560

2077881696 has 108 divisors (see below), whose sum is σ = 6495099156. Its totient is φ = 629650560.

The previous prime is 2077881649. The next prime is 2077881719. The reversal of 2077881696 is 6961887702.

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 17 ways as a sum of consecutive naturals, for example, 5035 + ... + 64661.

It is an arithmetic number, because the mean of its divisors is an integer number (60139807).

Almost surely, 22077881696 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 2077881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247549578).

2077881696 is an abundant number, since it is smaller than the sum of its proper divisors (4417217460).

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

2077881696 is a wasteful number, since it uses less digits than its factorization.

2077881696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59665 (or 59643 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2077881696 is about 45583.7876442930. The cubic root of 2077881696 is about 1276.0673765453.

The spelling of 2077881696 in words is "two billion, seventy-seven million, eight hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 59627 119254 178881 238508 357762 477016 536643 655897 715524 954032 1073286 1311794 1431048 1908064 1967691 2146572 2623588 2862096 3935382 4293144 5247176 5724192 5903073 7214867 7870764 8586288 10494352 11806146 14429734 15741528 17172576 20988704 21644601 23612292 28859468 31483056 43289202 47224584 57718936 62966112 64933803 86578404 94449168 115437872 129867606 173156808 188898336 230875744 259735212 346313616 519470424 692627232 1038940848 2077881696