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12277984025 = 524134612
BaseRepresentation
bin10110110111101001…
…10010101100011001
31011200200012012202002
423123310302230121
5200121130442100
65350155450345
7613155066536
oct133364625431
934620165662
1012277984025
11523066913a
122467a569b5
131208924708
148468ddd8d
154bcd812d5
hex2dbd32b19

12277984025 has 18 divisors (see below), whose sum is σ = 15600541866. Its totient is φ = 9580048000.

The previous prime is 12277984007. The next prime is 12277984051. The reversal of 12277984025 is 52048977221.

It can be written as a sum of positive squares in 9 ways, for example, as 10148346121 + 2129637904 = 100739^2 + 46148^2 .

It is not a de Polignac number, because 12277984025 - 28 = 12277983769 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3545795 + ... + 3549255.

Almost surely, 212277984025 is an apocalyptic number.

It is an amenable number.

12277984025 is a deficient number, since it is larger than the sum of its proper divisors (3322557841).

12277984025 is an frugal number, since it uses more digits than its factorization.

12277984025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 12277984025 in words is "twelve billion, two hundred seventy-seven million, nine hundred eighty-four thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 3461 17305 86525 141901 709505 3547525 11978521 59892605 299463025 491119361 2455596805 12277984025