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14628418704 = 2432100792
BaseRepresentation
bin11011001111110101…
…11111010010010000
31101202110221122222100
431213322333102100
5214424333344304
610415321440400
71025335336014
oct154772772220
941673848870
1014628418704
1162273a7539
122a03040100
1314c1877a73
149cab3a544
155a93b6439
hex367ebf490

14628418704 has 45 divisors (see below), whose sum is σ = 40943317363. Its totient is φ = 4875655776.

The previous prime is 14628418691. The next prime is 14628418709. The reversal of 14628418704 is 40781482641.

The square root of 14628418704 is 120948.

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

14628418704 is a `hidden beast` number, since 1 + 4 + 628 + 4 + 18 + 7 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14628418704.

It is not an unprimeable number, because it can be changed into a prime (14628418709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1446337 + ... + 1456415.

Almost surely, 214628418704 is an apocalyptic number.

14628418704 is the 120948-th square number.

It is an amenable number.

14628418704 is an abundant number, since it is smaller than the sum of its proper divisors (26314898659).

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

14628418704 is an frugal number, since it uses more digits than its factorization.

14628418704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 14628418704 in words is "fourteen billion, six hundred twenty-eight million, four hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10079 20158 30237 40316 60474 80632 90711 120948 161264 181422 241896 362844 483792 725688 1451376 101586241 203172482 304758723 406344964 609517446 812689928 914276169 1219034892 1625379856 1828552338 2438069784 3657104676 4876139568 7314209352 14628418704