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2773334000889 = 3637216672
BaseRepresentation
bin101000010110110111100…
…101101000010011111001
3100211010110102012111000000
4220112313211220103321
5330414242001012024
65522015124303213
7404236542024324
oct50266745502371
910733412174000
102773334000889
1197a189819791
123895a7b41b09
131716a7aa403a
14983314b77bb
154c21a212cc9
hex285b79684f9

2773334000889 has 63 divisors (see below), whose sum is σ = 4276082363007. Its totient is φ = 1797840216144.

The previous prime is 2773334000869. The next prime is 2773334000893. The reversal of 2773334000889 is 9880004333772.

The square root of 2773334000889 is 1665333.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2481617349225 + 291716651664 = 1575315^2 + 540108^2 .

It is not a de Polignac number, because 2773334000889 - 27 = 2773334000761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2773334000869) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1663666834 + ... + 1663668500.

Almost surely, 22773334000889 is an apocalyptic number.

2773334000889 is the 1665333-rd square number.

2773334000889 is the 832667-th centered octagonal number.

It is an amenable number.

2773334000889 is a deficient number, since it is larger than the sum of its proper divisors (1502748362118).

2773334000889 is an frugal number, since it uses more digits than its factorization.

2773334000889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2773334000889 in words is "two trillion, seven hundred seventy-three billion, three hundred thirty-four million, eight hundred eighty-nine", and thus it is an aban number.

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 1667 2997 4107 5001 8991 12321 15003 26973 36963 45009 61679 110889 135027 185037 332667 405081 555111 998001 1215243 1665333 2282123 2778889 4995999 6846369 8336667 14987997 20539107 25010001 44963991 61617321 75030003 102818893 184851963 225090009 308456679 554555889 675270027 925370037 1663667667 2025810081 2776110111 3804299041 8328330333 11412897123 24984990999 34238691369 74954972997 102716074107 308148222321 924444666963 2773334000889