Search a number
-
+
3483305045253 = 32111913914299323
BaseRepresentation
bin110010101100000101001…
…010001110110100000101
3110100000000111222102012100
4302230011022032310011
5424032302042422003
611224112551542313
7506442355234125
oct62540512166405
913300014872170
103483305045253
111123296985610
1248310798a999
131c3621c30917
14c0842b64c85
156091e858ba3
hex32b0528ed05

3483305045253 has 96 divisors (see below), whose sum is σ = 5823994176000. Its totient is φ = 1983993056640.

The previous prime is 3483305045251. The next prime is 3483305045273. The reversal of 3483305045253 is 3525405033843.

3483305045253 is a `hidden beast` number, since 3 + 48 + 3 + 3 + 0 + 504 + 52 + 53 = 666.

It is not a de Polignac number, because 3483305045253 - 21 = 3483305045251 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3483305045199 and 3483305045208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483305045251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373620250 + ... + 373629572.

It is an arithmetic number, because the mean of its divisors is an integer number (60666606000).

Almost surely, 23483305045253 is an apocalyptic number.

3483305045253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3483305045253 is a deficient number, since it is larger than the sum of its proper divisors (2340689130747).

3483305045253 is a wasteful number, since it uses less digits than its factorization.

3483305045253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 3483305045253 in words is "three trillion, four hundred eighty-three billion, three hundred five million, forty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 11 19 33 57 99 139 171 209 417 627 1251 1429 1529 1881 2641 4287 4587 7923 9323 12861 13761 15719 23769 27151 27969 29051 47157 81453 83907 87153 102553 141471 177137 198631 244359 261459 298661 307659 531411 595893 895983 922977 1295897 1594233 1787679 1948507 2184941 2687949 3773989 3887691 5845521 6554823 11321967 11663073 13322567 14254867 17536563 19664469 24622043 33965901 39967701 41513879 42764601 73866129 119903103 124541637 128293803 146548237 221598387 253128773 270842473 373624911 439644711 759386319 812527419 1318934133 1851836813 2278158957 2437582257 2784416503 5555510439 8353249509 16666531317 20370204943 25059748527 35184899447 61110614829 105554698341 183331844487 316664095023 387033893917 1161101681751 3483305045253