Search a number
-
+
460880226741 = 311172198812887
BaseRepresentation
bin1101011010011101001…
…10100010100110110101
31122001121112110022211110
412231032212202212311
530022340314223431
6551420410425233
745204020201304
oct6551646424665
91561545408743
10460880226741
11168504966880
12753a3a32219
13345cb55aa4c
141844190643b
15bec656e346
hex6b4e9a29b5

460880226741 has 96 divisors (see below), whose sum is σ = 750715499520. Its totient is φ = 248685465600.

The previous prime is 460880226731. The next prime is 460880226769. The reversal of 460880226741 is 147622088064.

It is not a de Polignac number, because 460880226741 - 222 = 460876032437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460880226731) 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, 159638400 + ... + 159641286.

It is an arithmetic number, because the mean of its divisors is an integer number (7819953120).

Almost surely, 2460880226741 is an apocalyptic number.

It is an amenable number.

460880226741 is a deficient number, since it is larger than the sum of its proper divisors (289835272779).

460880226741 is a wasteful number, since it uses less digits than its factorization.

460880226741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 460880226741 in words is "four hundred sixty billion, eight hundred eighty million, two hundred twenty-six thousand, seven hundred forty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 289 323 561 627 867 881 969 2643 2887 3179 3553 5491 8661 9537 9691 10659 14977 16473 16739 29073 31757 44931 49079 50217 54853 60401 95271 147237 164559 164747 181203 184129 254609 284563 494241 539869 552387 603383 763827 834343 853689 932501 1619607 1810149 2503029 2543447 2797503 2800699 3130193 4837571 7630341 8402097 9177773 9390579 10257511 14512713 15852517 27533319 27977917 30772533 43238599 47557551 48325493 53213281 83933751 129715797 144976479 159639843 174377687 475624589 523133061 531580423 735056183 821533381 1426873767 1594741269 2205168549 2464600143 8085618013 9036867191 13966067477 24256854039 27110601573 41898202431 153626742247 460880226741