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820949317696 = 2661210284149
BaseRepresentation
bin10111111001001000110…
…01000111100001000000
32220111000100222100022001
423330210121013201000
5101422301011131241
61425050000553344
7113211614031004
oct13744431074100
92814010870261
10820949317696
112971875401a2
12113132322854
135c552227651
142ba3c764704
151654c57c431
hexbf24647840

820949317696 has 28 divisors (see below), whose sum is σ = 1655777397100. Its totient is φ = 403745564160.

The previous prime is 820949317681. The next prime is 820949317709. The reversal of 820949317696 is 696713949028.

It can be written as a sum of positive squares in 2 ways, for example, as 391295287296 + 429654030400 = 625536^2 + 655480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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 3 ways as a sum of consecutive naturals, for example, 105138171 + ... + 105145978.

Almost surely, 2820949317696 is an apocalyptic number.

It is an amenable number.

820949317696 is an abundant number, since it is smaller than the sum of its proper divisors (834828079404).

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

820949317696 is a wasteful number, since it uses less digits than its factorization.

820949317696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210284222 (or 210284212 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 820949317696 in words is "eight hundred twenty billion, nine hundred forty-nine million, three hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 210284149 420568298 841136596 1682273192 3364546384 6729092768 12827333089 13458185536 25654666178 51309332356 102618664712 205237329424 410474658848 820949317696