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920811048921 = 341066212
BaseRepresentation
bin11010110011001001001…
…11011000111111011001
310021000202220102220110000
431121210213120333121
5110041310112031141
61543003104243213
7123345361526361
oct15314447307731
93230686386400
10920811048921
11325571916985
1212a561910509
1368aa81b4a3a
14327d32b19a1
1518e445a35b6
hexd6649d8fd9

920811048921 has 15 divisors (see below), whose sum is σ = 1375545455823. Its totient is φ = 613868275080.

The previous prime is 920811048919. The next prime is 920811048947. The reversal of 920811048921 is 129840118029.

The square root of 920811048921 is 959589.

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

920811048921 is a `hidden beast` number, since 92 + 0 + 81 + 1 + 0 + 489 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 683037784521 + 237773264400 = 826461^2 + 487620^2 .

It is not a de Polignac number, because 920811048921 - 21 = 920811048919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (920811046921) 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 14 ways as a sum of consecutive naturals, for example, 8582991 + ... + 8689611.

Almost surely, 2920811048921 is an apocalyptic number.

920811048921 is the 959589-th square number.

920811048921 is the 479795-th centered octagonal number.

It is an amenable number.

920811048921 is a deficient number, since it is larger than the sum of its proper divisors (454734406902).

920811048921 is an frugal number, since it uses more digits than its factorization.

920811048921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213254 (or 106624 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 920811048921 in words is "nine hundred twenty billion, eight hundred eleven million, forty-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 106621 319863 959589 2878767 8636301 11368037641 34104112923 102312338769 306937016307 920811048921