Search a number
-
+
433134405052464 = 243109265093312289
BaseRepresentation
bin110001001111011101111011…
…0010110100110100000110000
32002210121020121102001020200010
41202132323312112212200300
5423232433230143134324
64133111110532254520
7160142633222563563
oct14236736626464060
92083536542036603
10433134405052464
111160122a6952685
12406b4423a71440
131578b525ba332b
1478d5b620284da
153511c47095829
hex189eef65a6830

433134405052464 has 80 divisors (see below), whose sum is σ = 1129203839746400. Its totient is φ = 143052567257088.

The previous prime is 433134405052457. The next prime is 433134405052483. The reversal of 433134405052464 is 464250504431334.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386810432 + ... + 1387122720.

It is an arithmetic number, because the mean of its divisors is an integer number (14115047996830).

Almost surely, 2433134405052464 is an apocalyptic number.

It is an amenable number.

433134405052464 is an abundant number, since it is smaller than the sum of its proper divisors (696069434693936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

433134405052464 is a wasteful number, since it uses less digits than its factorization.

433134405052464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577502 (or 577496 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

Adding to 433134405052464 its reverse (464250504431334), we get a palindrome (897384909483798).

The spelling of 433134405052464 in words is "four hundred thirty-three trillion, one hundred thirty-four billion, four hundred five million, fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 265093 312289 530186 624578 795279 936867 1060372 1249156 1590558 1873734 2120744 2498312 3181116 3747468 4241488 4996624 6362232 7494936 12724464 14989872 28895137 34039501 57790274 68079002 86685411 102118503 115580548 136158004 173370822 204237006 231161096 272316008 346741644 408474012 462322192 544632016 693483288 816948024 1386966576 1633896048 82785627877 165571255754 248356883631 331142511508 496713767262 662285023016 993427534524 1324570046032 1986855069048 3973710138096 9023633438593 18047266877186 27070900315779 36094533754372 54141800631558 72189067508744 108283601263116 144378135017488 216567202526232 433134405052464