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11782885401 = 347217232
BaseRepresentation
bin10101111100101000…
…01001000000011001
31010102011120121010000
422332110021000121
5143112404313101
65225112043213
7564663605400
oct127624110031
933364517100
1011782885401
114aa714a221
12234a093509
13115a197551
147dac62637
1548e685486
hex2be509019

11782885401 has 45 divisors (see below), whose sum is σ = 20487214341. Its totient is φ = 6729169608.

The previous prime is 11782885393. The next prime is 11782885417. The reversal of 11782885401 is 10458828711.

The square root of 11782885401 is 108549.

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

11782885401 is a `hidden beast` number, since 11 + 78 + 28 + 8 + 540 + 1 = 666.

It is not a de Polignac number, because 11782885401 - 23 = 11782885393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11782885601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6837726 + ... + 6839448.

Almost surely, 211782885401 is an apocalyptic number.

11782885401 is the 108549-th square number.

11782885401 is the 54275-th centered octagonal number.

It is an amenable number.

11782885401 is a deficient number, since it is larger than the sum of its proper divisors (8704328940).

11782885401 is an frugal number, since it uses more digits than its factorization.

11782885401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 11782885401 in words is "eleven billion, seven hundred eighty-two million, eight hundred eighty-five thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 1723 3969 5169 12061 15507 36183 46521 84427 108549 139563 253281 325647 759843 976941 2279529 2968729 6838587 8906187 20781103 26718561 62343309 80155683 145467721 187029927 240467049 436403163 561089781 1309209489 1683269343 3927628467 11782885401