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16517505042749 = 19231072511407361
BaseRepresentation
bin1111000001011100100000…
…0001010100100100111101
32011111001120022210211021202
43300113020001110210331
54131110322242331444
655044012001105245
73323231113215164
oct360271001244475
964431508724252
1016517505042749
115299041a93647
121a29253028225
1392a795158939
14411646d2a3db
151d99d16e834e
hexf05c805493d

16517505042749 has 32 divisors (see below), whose sum is σ = 18385326812160. Its totient is φ = 14768835840000.

The previous prime is 16517505042739. The next prime is 16517505042823. The reversal of 16517505042749 is 94724050571561.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16517505042749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16517505042694 and 16517505042703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16517505042739) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11032829 + ... + 12440189.

It is an arithmetic number, because the mean of its divisors is an integer number (574541462880).

Almost surely, 216517505042749 is an apocalyptic number.

16517505042749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

16517505042749 is a deficient number, since it is larger than the sum of its proper divisors (1867821769411).

16517505042749 is a wasteful number, since it uses less digits than its factorization.

16517505042749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407761.

The product of its (nonzero) digits is 10584000, while the sum is 56.

The spelling of 16517505042749 in words is "sixteen trillion, five hundred seventeen billion, five hundred five million, forty-two thousand, seven hundred forty-nine".

Divisors: 1 19 23 107 251 437 2033 2461 4769 5773 26857 46759 109687 510283 617711 1407361 11736509 26739859 32369303 150587627 353247611 615016757 2861164913 3463515421 6711704609 8124695053 37797494377 65806792999 154369206007 718152393163 869342370671 16517505042749