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16730057925 = 3105271619
BaseRepresentation
bin11111001010011000…
…00110110011000101
31121011221120000000000
433211030012303011
5233230343323200
611404035111513
71131405101040
oct174514066305
947157500000
1016730057925
117105755159
1232aaa42599
1317680baa79
14b49cd1c57
1567db54300
hex3e5306cc5

16730057925 has 132 divisors (see below), whose sum is σ = 35585088480. Its totient is φ = 7643302560.

The previous prime is 16730057891. The next prime is 16730057933. The reversal of 16730057925 is 52975003761.

16730057925 is a `hidden beast` number, since 1 + 6 + 73 + 0 + 0 + 579 + 2 + 5 = 666.

16730057925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16730057925 - 210 = 16730056901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 10332766 + ... + 10334384.

Almost surely, 216730057925 is an apocalyptic number.

16730057925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16730057925 is an abundant number, since it is smaller than the sum of its proper divisors (18855030555).

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

16730057925 is an frugal number, since it uses more digits than its factorization.

16730057925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 16730057925 in words is "sixteen billion, seven hundred thirty million, fifty-seven thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 729 945 1215 1575 1619 1701 2025 2187 2835 3645 4725 4857 5103 6075 6561 8095 8505 10935 11333 14175 14571 15309 18225 19683 24285 25515 32805 33999 40475 42525 43713 45927 54675 56665 59049 72855 76545 98415 101997 121425 127575 131139 137781 164025 169995 218565 229635 283325 295245 305991 364275 382725 393417 413343 492075 509985 655695 688905 849975 917973 1092825 1148175 1180251 1476225 1529955 1967085 2066715 2549925 2753919 3278475 3444525 3540753 4589865 5901255 7649775 8261757 9835425 10333575 10622259 13769595 17703765 22949325 24785271 29506275 31866777 41308785 53111295 68847975 74355813 88518825 95600331 123926355 159333885 206543925 223067439 265556475 371779065 478001655 619631775 669202317 796669425 1115337195 1858895325 2390008275 3346011585 5576685975 16730057925