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883349977689 = 323132892
BaseRepresentation
bin11001101101010111100…
…00101111101001011001
310010110002011211022110100
430312223300233221121
5103433100043241224
61513445543410013
7120551143631304
oct14665360575131
93113064738410
10883349977689
11310699040683
12123248153909
13653b81419ba
1430a7bda9b3b
1517ea0936ac9
hexcdabc2fa59

883349977689 has 9 divisors (see below), whose sum is σ = 1275954040543. Its totient is φ = 588898105392.

The previous prime is 883349977661. The next prime is 883349977759. The reversal of 883349977689 is 986779943388.

The square root of 883349977689 is 939867.

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., 370292939289 + 513057038400 = 608517^2 + 716280^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 883349977689 - 27 = 883349977561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (883349976689) 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 8 ways as a sum of consecutive naturals, for example, 2662957 + ... + 2976245.

Almost surely, 2883349977689 is an apocalyptic number.

883349977689 is the 939867-th square number.

883349977689 is the 469934-th centered octagonal number.

It is an amenable number.

883349977689 is a deficient number, since it is larger than the sum of its proper divisors (392604062854).

883349977689 is an frugal number, since it uses more digits than its factorization.

883349977689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626584 (or 313292 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 81.

Multiplying 883349977689 by its sum of digits (81), we get a square (71551348192809 = 84588032).

The spelling of 883349977689 in words is "eight hundred eighty-three billion, three hundred forty-nine million, nine hundred seventy-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 313289 939867 2819601 98149997521 294449992563 883349977689