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13005419782 = 2192314880343
BaseRepresentation
bin11000001110010111…
…01111010100000110
31020120100222210000011
430013023233110012
5203113341413112
65550303140434
7640200146515
oct140713572406
936510883004
1013005419782
115574247413
12262b5a471a
1312c354b884
148b537a67c
15511b72aa7
hex3072ef506

13005419782 has 16 divisors (see below), whose sum is σ = 21427695360. Its totient is φ = 5892615432.

The previous prime is 13005419771. The next prime is 13005419803. The reversal of 13005419782 is 28791450031.

13005419782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 7439298 + ... + 7441045.

It is an arithmetic number, because the mean of its divisors is an integer number (1339230960).

Almost surely, 213005419782 is an apocalyptic number.

13005419782 is a deficient number, since it is larger than the sum of its proper divisors (8422275578).

13005419782 is a wasteful number, since it uses less digits than its factorization.

13005419782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880387.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 13005419782 in words is "thirteen billion, five million, four hundred nineteen thousand, seven hundred eighty-two".

Divisors: 1 2 19 23 38 46 437 874 14880343 29760686 282726517 342247889 565453034 684495778 6502709891 13005419782