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820910489961 = 34315154177899
BaseRepresentation
bin10111111001000100001…
…01000000000101101001
32220110220122220200122210
423330202011000011221
5101422211041134321
61425042052435333
7113210633014422
oct13744205000551
92813818820583
10820910489961
11297167630361
12113121318b49
135c547181563
142ba37538649
1516548e5cb76
hexbf22140169

820910489961 has 32 divisors (see below), whose sum is σ = 1129517593600. Its totient is φ = 530017992000.

The previous prime is 820910489951. The next prime is 820910489977. The reversal of 820910489961 is 169984019028.

It is a de Polignac number, because none of the positive numbers 2k-820910489961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820910489951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10499190 + ... + 10577088.

It is an arithmetic number, because the mean of its divisors is an integer number (35297424800).

Almost surely, 2820910489961 is an apocalyptic number.

It is an amenable number.

820910489961 is a deficient number, since it is larger than the sum of its proper divisors (308607103639).

820910489961 is a wasteful number, since it uses less digits than its factorization.

820910489961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78637.

The product of its (nonzero) digits is 2239488, while the sum is 57.

The spelling of 820910489961 in words is "eight hundred twenty billion, nine hundred ten million, four hundred eighty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 43 129 151 453 541 1623 6493 19479 23263 69789 77899 81691 233697 245073 3349657 3512713 10048971 10538139 11762749 35288247 42143359 126430077 505798207 1517394621 1812164437 5436493311 6363647209 19090941627 273636829987 820910489961