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2338412880969 = 3211214923112
BaseRepresentation
bin100010000001110100010…
…001001110010001001001
322021112212000101102012100
4202001310101032101021
5301303032144142334
64550130235304013
7330642023350134
oct42016421162111
98245760342170
102338412880969
11821796122100
123192498ab009
1313c68569c739
148127349d21b
1540c62b6ac99
hex2207444e449

2338412880969 has 81 divisors (see below), whose sum is σ = 3749828544007. Its totient is φ = 1403181991200.

The previous prime is 2338412880967. The next prime is 2338412881009. The reversal of 2338412880969 is 9690882148332.

The square root of 2338412880969 is 1529187.

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

2338412880969 is a `hidden beast` number, since 23 + 38 + 412 + 8 + 80 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 273961168569 + 2064451712400 = 523413^2 + 1436820^2 .

It is not a de Polignac number, because 2338412880969 - 21 = 2338412880967 is a prime.

It is a super-2 number, since 2×23384128809692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2338412880967) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7519012324 + ... + 7519012634.

Almost surely, 22338412880969 is an apocalyptic number.

2338412880969 is the 1529187-th square number.

2338412880969 is the 764594-th centered octagonal number.

It is an amenable number.

2338412880969 is a deficient number, since it is larger than the sum of its proper divisors (1411415663038).

2338412880969 is an equidigital number, since it uses as much as digits as its factorization.

2338412880969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 2338412880969 in words is "two trillion, three hundred thirty-eight billion, four hundred twelve million, eight hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 99 121 149 311 363 447 933 1089 1341 1639 2799 3421 4917 10263 14751 18029 22201 30789 37631 46339 54087 66603 96721 112893 139017 162261 199809 244211 290163 338679 417051 509729 732633 870489 1063931 1529187 2197899 2686321 3191793 4587561 5607019 6904511 8058963 9575379 11703241 14411429 16821057 20713533 24176889 35109723 43234287 50463171 62140599 75949621 105329169 129702861 158525719 227848863 475577157 683546589 835445831 1426731471 1743782909 2147302921 2506337493 5231348727 6441908763 7519012479 15694046181 19325726289 23620332131 70860996393 212582989179 259823653441 779470960323 2338412880969