Search a number
-
+
429742911160521 = 327157119671363061
BaseRepresentation
bin110000110110110010101000…
…1100100001000000011001001
32002100121000120100221122212100
41201231211101210020003021
5422311401440224114041
64121553100140104013
7156342620645262360
oct14155452144100311
92070530510848770
10429742911160521
11114a24a43a80482
124024707b535009
13155a377608b53a
14781994c93c7d7
1534a38ecac66b6
hex186d9519080c9

429742911160521 has 48 divisors (see below), whose sum is σ = 713943380270848. Its totient is φ = 244000543363200.

The previous prime is 429742911160477. The next prime is 429742911160531. The reversal of 429742911160521 is 125061119247924.

It is a happy number.

429742911160521 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 4 + 2 + 9 + 1 + 1 + 1 + 605 + 21 = 666.

It is not a de Polignac number, because 429742911160521 - 27 = 429742911160393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429742911160531) 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, 1183484331 + ... + 1183847391.

Almost surely, 2429742911160521 is an apocalyptic number.

It is an amenable number.

429742911160521 is a deficient number, since it is larger than the sum of its proper divisors (284200469110327).

429742911160521 is a wasteful number, since it uses less digits than its factorization.

429742911160521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482902 (or 482899 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 429742911160521 in words is "four hundred twenty-nine trillion, seven hundred forty-two billion, nine hundred eleven million, one hundred sixty thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 63 157 471 1099 1413 3297 9891 119671 359013 363061 837697 1077039 1089183 2513091 2541427 3267549 7539273 7624281 18788347 22872843 56365041 57000577 131518429 169095123 171001731 394555287 399004039 513005193 1183665861 1197012117 3591036351 43447872931 130343618793 304135110517 391030856379 912405331551 2737215994653 6821316050167 20463948150501 47749212351169 61391844451503 143247637053507 429742911160521