Search a number
-
+
77007216770217 = 32173793643364537
BaseRepresentation
bin10001100000100110100011…
…110011001111110010101001
3101002122211002100012122210200
4101200212203303033302221
540043141234443121332
6431440343233302413
722135405422314526
oct2140464363176251
9332584070178720
1077007216770217
112259a639324778
128778621104a09
1333c7998514866
14150325232414d
158d8203a7c17c
hex4609a3ccfca9

77007216770217 has 48 divisors (see below), whose sum is σ = 118119235890240. Its totient is φ = 48177404384256.

The previous prime is 77007216770207. The next prime is 77007216770233. The reversal of 77007216770217 is 71207761270077.

It is not a de Polignac number, because 77007216770217 - 216 = 77007216704681 is a prime.

It is a super-2 number, since 2×770072167702172 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77007216770207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211064373 + ... + 211428909.

It is an arithmetic number, because the mean of its divisors is an integer number (2460817414380).

Almost surely, 277007216770217 is an apocalyptic number.

It is an amenable number.

77007216770217 is a deficient number, since it is larger than the sum of its proper divisors (41112019120023).

77007216770217 is a wasteful number, since it uses less digits than its factorization.

77007216770217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368582 (or 368579 counting only the distinct ones).

The product of its (nonzero) digits is 2823576, while the sum is 54.

The spelling of 77007216770217 in words is "seventy-seven trillion, seven billion, two hundred sixteen million, seven hundred seventy thousand, two hundred seventeen".

Divisors: 1 3 9 17 51 153 379 1137 3411 3643 6443 10929 19329 32787 57987 61931 185793 364537 557379 1093611 1380697 3280833 4142091 6197129 12426273 18591387 23471849 55774161 70415547 138159523 211246641 414478569 1243435707 1328008291 2348711891 3984024873 7046135673 11952074619 21138407019 22576140947 67728422841 203185268523 503315142289 1509945426867 4529836280601 8556357418913 25669072256739 77007216770217