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12042933505849 = 19496132
BaseRepresentation
bin1010111100111111011011…
…0001100000111100111001
31120122021220202001011210201
42233033312301200330321
53034302411434141344
641340240340042201
72352034055543341
oct257176661407471
946567822034721
1012042933505849
11392341a007244
121426002093361
1369484a44480c
142d8c49a03d21
1515d3e72144d4
hexaf3f6c60f39

12042933505849 has 15 divisors (see below), whose sum is σ = 12713302744863. Its totient is φ = 11407908060072.

The previous prime is 12042933505831. The next prime is 12042933505871. The reversal of 12042933505849 is 94850533924021.

The square root of 12042933505849 is 3470293.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11997875802025 + 45057703824 = 3463795^2 + 212268^2 .

It is not a de Polignac number, because 12042933505849 - 229 = 12042396634937 is a prime.

It is a super-2 number, since 2×120429335058492 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12042933505849.

It is not an unprimeable number, because it can be changed into a prime (12042933505819) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1252770967 + ... + 1252780579.

Almost surely, 212042933505849 is an apocalyptic number.

12042933505849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12042933505849 is the 3470293-rd square number.

12042933505849 is the 1735147-th centered octagonal number.

It is an amenable number.

12042933505849 is a deficient number, since it is larger than the sum of its proper divisors (670369239014).

12042933505849 is an frugal number, since it uses more digits than its factorization.

12042933505849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19302 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 12042933505849 in words is "twelve trillion, forty-two billion, nine hundred thirty-three million, five hundred five thousand, eight hundred forty-nine".

Divisors: 1 19 361 6859 9613 130321 182647 3470293 65935567 92409769 1252775773 1755785611 33359926609 633838605571 12042933505849