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11294610327 = 3371121337991
BaseRepresentation
bin10101000010011011…
…00001001110010111
31002011010210122122000
422201031201032113
5141112410012302
65104430410343
7546614414040
oct124115411627
932133718560
1011294610327
114876570a00
1222326609b3
1310acc891a0
1479207d8c7
1546188631c
hex2a1361397

11294610327 has 96 divisors (see below), whose sum is σ = 22637153280. Its totient is φ = 5415854400.

The previous prime is 11294610319. The next prime is 11294610337. The reversal of 11294610327 is 72301649211.

11294610327 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 4 + 610 + 32 + 7 = 666.

It is not a de Polignac number, because 11294610327 - 23 = 11294610319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11294610291 and 11294610300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11294610317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278302 + ... + 316292.

It is an arithmetic number, because the mean of its divisors is an integer number (235803680).

Almost surely, 211294610327 is an apocalyptic number.

11294610327 is an abundant number, since it is smaller than the sum of its proper divisors (11342542953).

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

11294610327 is a wasteful number, since it uses less digits than its factorization.

11294610327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38042 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11294610327 in words is "eleven billion, two hundred ninety-four million, six hundred ten thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 121 143 189 231 273 297 351 363 429 693 819 847 1001 1089 1287 1573 2079 2457 2541 3003 3267 3861 4719 7623 9009 11011 14157 22869 27027 33033 37991 42471 99099 113973 265937 297297 341919 417901 493883 797811 1025757 1253703 1481649 2393433 2925307 3457181 3761109 4444947 4596911 5432713 7180299 8775921 10371543 11283327 13334841 13790733 16298139 26327763 31114629 32178377 38028991 41372199 48894417 59759843 78983289 93343887 96535131 114086973 124116597 146683251 179279529 289605393 342260919 418318901 537838587 868816179 1026782757 1254956703 1613515761 3764870109 11294610327