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3146920785 = 3251513491327
BaseRepresentation
bin1011101110010010…
…0011001101010001
322010022111010202200
42323210203031101
522421102431120
61240133233413
7140661246111
oct27344431521
98108433680
103146920785
11137539a188
12739a92869
133b1c75a08
1421bd2d041
15136415e90
hexbb923351

3146920785 has 48 divisors (see below), whose sum is σ = 5510668800. Its totient is φ = 1661212800.

The previous prime is 3146920769. The next prime is 3146920807. The reversal of 3146920785 is 5870296413.

3146920785 is digitally balanced in base 2, base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3146920785 - 24 = 3146920769 is a prime.

It is a super-2 number, since 2×31469207852 = 19806220854130032450, which contains 22 as substring.

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

3146920785 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 3146920785.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370792 + ... + 2372118.

It is an arithmetic number, because the mean of its divisors is an integer number (114805600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3146920785 = 6293841570, but 3⋅3146920785 = 9440762355 is not.

Almost surely, 23146920785 is an apocalyptic number.

It is an amenable number.

3146920785 is a deficient number, since it is larger than the sum of its proper divisors (2363748015).

3146920785 is a wasteful number, since it uses less digits than its factorization.

3146920785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3146920785 is about 56097.4222669812. The cubic root of 3146920785 is about 1465.4194010193.

The spelling of 3146920785 in words is "three billion, one hundred forty-six million, nine hundred twenty thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 151 349 453 755 1047 1327 1359 1745 2265 3141 3981 5235 6635 6795 11943 15705 19905 52699 59715 158097 200377 263495 463123 474291 601131 790485 1001885 1389369 1803393 2315615 2371455 3005655 4168107 6946845 9016965 20840535 69931573 209794719 349657865 629384157 1048973595 3146920785