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1929696048225 = 325211284192
BaseRepresentation
bin11100000101001010110…
…110001111010001100001
320211110212211120001122100
4130011022312033101201
5223104004142020400
64034253511201013
7256262444526441
oct34051266172141
96743784501570
101929696048225
1168441a126300
12271ba3376169
1310cc7b1672ca
146957d756121
15352e0d7c100
hex1c14ad8f461

1929696048225 has 81 divisors (see below), whose sum is σ = 3799524893619. Its totient is φ = 935499074400.

The previous prime is 1929696048223. The next prime is 1929696048281. The reversal of 1929696048225 is 5228406969291.

The square root of 1929696048225 is 1389135.

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

1929696048225 is a `hidden beast` number, since 1 + 9 + 2 + 96 + 9 + 60 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 694690577361 + 1235005470864 = 833481^2 + 1111308^2 .

It is not a de Polignac number, because 1929696048225 - 21 = 1929696048223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1929696048223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229203066 + ... + 229211484.

Almost surely, 21929696048225 is an apocalyptic number.

1929696048225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1929696048225 is the 1389135-th square number.

1929696048225 is the 694568-th centered octagonal number.

It is an amenable number.

1929696048225 is a deficient number, since it is larger than the sum of its proper divisors (1869828845394).

1929696048225 is an frugal number, since it uses more digits than its factorization.

1929696048225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1929696048225 in words is "one trillion, nine hundred twenty-nine billion, six hundred ninety-six million, forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 8419 9075 25257 27225 42095 75771 92609 126285 210475 277827 378855 463045 631425 833481 1018699 1389135 1894275 2315225 3056097 4167405 5093495 6945675 9168291 15280485 20837025 25467475 45841455 70879561 76402425 212638683 229207275 354397805 637916049 779675171 1063193415 1771989025 2339025513 3189580245 3898375855 5315967075 7017076539 8576426881 11695127565 15947901225 19491879275 25729280643 35085382695 42882134405 58475637825 77187841929 128646403215 175426913475 214410672025 385939209645 643232016075 1929696048225