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2742793011 = 32773896701
BaseRepresentation
bin1010001101111011…
…1011001100110011
321002011001022200100
42203132323030303
521104123334021
61132055323443
7124653233040
oct24336731463
97064038610
102742793011
111188264a92
12646680583
1334931a65a
141c03b21c7
15110bd9626
hexa37bb333

2742793011 has 48 divisors (see below), whose sum is σ = 4642073280. Its totient is φ = 1528243200.

The previous prime is 2742793007. The next prime is 2742793057. The reversal of 2742793011 is 1103972472.

It is not a de Polignac number, because 2742793011 - 22 = 2742793007 is a prime.

It is a super-2 number, since 2×27427930112 = 15045827002380892242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2742793111) 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 47 ways as a sum of consecutive naturals, for example, 405961 + ... + 412661.

It is an arithmetic number, because the mean of its divisors is an integer number (96709860).

Almost surely, 22742793011 is an apocalyptic number.

2742793011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2742793011 is a deficient number, since it is larger than the sum of its proper divisors (1899280269).

2742793011 is a wasteful number, since it uses less digits than its factorization.

2742793011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2742793011 is about 52371.6813841221. The cubic root of 2742793011 is about 1399.7946996575.

The spelling of 2742793011 in words is "two billion, seven hundred forty-two million, seven hundred ninety-three thousand, eleven".

Divisors: 1 3 7 9 21 63 73 89 219 267 511 623 657 801 1533 1869 4599 5607 6497 6701 19491 20103 45479 46907 58473 60309 136437 140721 409311 422163 489173 596389 1467519 1789167 3424211 4174723 4402557 5367501 10272633 12524169 30817899 37572507 43536397 130609191 304754779 391827573 914264337 2742793011