Search a number
-
+
5429714793129 = 3211232384591477
BaseRepresentation
bin100111100000011010000…
…1110001011001010101001
3201020002001011022101111200
41033000310032023022221
51202430023441340004
615314213155514413
71100166252144114
oct117006416131251
921202034271450
105429714793129
1118038024a2830
127383945b8a09
13305034979023
1414ab2a15157b
159638cba8239
hex4f03438b2a9

5429714793129 has 24 divisors (see below), whose sum is σ = 8927910493632. Its totient is φ = 3147660748320.

The previous prime is 5429714793121. The next prime is 5429714793157. The reversal of 5429714793129 is 9213974179245.

5429714793129 is a `hidden beast` number, since 5 + 42 + 9 + 71 + 479 + 31 + 29 = 666.

It is not a de Polignac number, because 5429714793129 - 23 = 5429714793121 is a prime.

It is a super-3 number, since 3×54297147931293 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5429714793121) 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 23 ways as a sum of consecutive naturals, for example, 1192293462 + ... + 1192298015.

It is an arithmetic number, because the mean of its divisors is an integer number (371996270568).

Almost surely, 25429714793129 is an apocalyptic number.

It is an amenable number.

5429714793129 is a deficient number, since it is larger than the sum of its proper divisors (3498195700503).

5429714793129 is a wasteful number, since it uses less digits than its factorization.

5429714793129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384591517 (or 2384591514 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

It can be divided in two parts, 542971 and 4793129, that added together give a square (5336100 = 23102).

The spelling of 5429714793129 in words is "five trillion, four hundred twenty-nine billion, seven hundred fourteen million, seven hundred ninety-three thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 2384591477 7153774431 21461323293 26230506247 54845603971 78691518741 164536811913 236074556223 493610435739 603301643681 1809904931043 5429714793129