Search a number
-
+
12023937678025 = 527213276212
BaseRepresentation
bin1010111011111000101010…
…0010001011101011001001
31120120110212220001010211001
42232332022202023223021
53034000011021144100
641323415401335001
72350462245635200
oct256761242135311
946513786033731
1012023937678025
1139163613a0689
1214223a0497461
13692b10b08100
142d7d66c34237
1515cb84700d6a
hexaef8a88bac9

12023937678025 has 81 divisors (see below), whose sum is σ = 18783155450943. Its totient is φ = 7609757500800.

The previous prime is 12023937678007. The next prime is 12023937678031. The reversal of 12023937678025 is 52087673932021.

The square root of 12023937678025 is 3467555.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7117482315321 + 4906455362704 = 2667861^2 + 2215052^2 .

It is not a de Polignac number, because 12023937678025 - 217 = 12023937546953 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1577733715 + ... + 1577741335.

Almost surely, 212023937678025 is an apocalyptic number.

12023937678025 is the 3467555-th square number.

12023937678025 is the 1733778-th centered octagonal number.

It is an amenable number.

12023937678025 is a deficient number, since it is larger than the sum of its proper divisors (6759217772918).

12023937678025 is an frugal number, since it uses more digits than its factorization.

12023937678025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15292 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 12023937678025 in words is "twelve trillion, twenty-three billion, nine hundred thirty-seven million, six hundred seventy-eight thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 3185 4225 5915 7621 8281 15925 29575 38105 41405 53347 99073 190525 207025 266735 373429 495365 693511 1287949 1333675 1867145 2476825 3467555 4854577 6439745 9015643 9335725 17337775 24272885 32198725 45078215 58079641 63109501 121364425 225391075 290398205 315547505 406557487 755035333 1451991025 1577737525 2032787435 2845902409 3775176665 5285247331 9815459329 10163937175 14229512045 18875883325 26426236655 36996731317 49077296645 68708215303 71147560225 132131183275 184983656585 245386483225 343541076515 480957507121 924918282925 1717705382575 2404787535605 12023937678025