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4097151630 = 23251113318349
BaseRepresentation
bin1111010000110101…
…1001001010001110
3101120112111212102200
43310031121022032
531342332323010
61514320102330
7203350133325
oct36415311216
911515455380
104097151630
11181280a730
129641649a6
13503aa88a0
142ac2030bc
1518ea65cc0
hexf435928e

4097151630 has 96 divisors (see below), whose sum is σ = 12514975200. Its totient is φ = 916842240.

The previous prime is 4097151601. The next prime is 4097151637. The reversal of 4097151630 is 361517904.

4097151630 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 15 + 1 + 630 = 666.

4097151630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097151637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146305 + ... + 172044.

It is an arithmetic number, because the mean of its divisors is an integer number (130364325).

Almost surely, 24097151630 is an apocalyptic number.

4097151630 is an abundant number, since it is smaller than the sum of its proper divisors (8417823570).

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

4097151630 is a wasteful number, since it uses less digits than its factorization.

4097151630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318386 (or 318383 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4097151630 is about 64008.9964770578. The cubic root of 4097151630 is about 1600.1499377716.

The spelling of 4097151630 in words is "four billion, ninety-seven million, one hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 12870 318349 636698 955047 1591745 1910094 2865141 3183490 3501839 4138537 4775235 5730282 7003678 8277074 9550470 10505517 12415611 14325705 17509195 20692685 21011034 24831222 28651410 31516551 35018390 37246833 41385370 45523907 52527585 62078055 63033102 74493666 91047814 105055170 124156110 136571721 157582755 186234165 227619535 273143442 315165510 372468330 409715163 455239070 682858605 819430326 1365717210 2048575815 4097151630