Search a number
-
+
454989680874 = 2362337366703
BaseRepresentation
bin1101001111011110111…
…11111001000011101010
31121111102000100121000000
412213233133321003222
524423304324241444
6545004103523430
744605032322221
oct6475737710352
91544360317000
10454989680874
11165a618a4553
127421b159576
1333ba0065a51
1418043469cb8
15bc7e357469
hex69ef7f90ea

454989680874 has 112 divisors (see below), whose sum is σ = 1096609243392. Its totient is φ = 141148000224.

The previous prime is 454989680839. The next prime is 454989680881. The reversal of 454989680874 is 478086989454.

454989680874 is a `hidden beast` number, since 4 + 5 + 498 + 9 + 68 + 0 + 8 + 74 = 666.

It is a super-2 number, since 2×4549896808742 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1057407 + ... + 1424109.

Almost surely, 2454989680874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454989680874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548304621696).

454989680874 is an abundant number, since it is smaller than the sum of its proper divisors (641619562518).

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

454989680874 is a wasteful number, since it uses less digits than its factorization.

454989680874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366783 (or 366768 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 454989680874 in words is "four hundred fifty-four billion, nine hundred eighty-nine million, six hundred eighty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 81 111 138 162 207 222 243 333 414 486 621 666 729 851 999 1242 1458 1702 1863 1998 2553 2997 3726 5106 5589 5994 7659 8991 11178 15318 16767 17982 22977 26973 33534 45954 53946 68931 137862 206793 366703 413586 620379 733406 1100109 1240758 2200218 3300327 6600654 8434169 9900981 13568011 16868338 19801962 25302507 27136022 29702943 40704033 50605014 59405886 75907521 81408066 89108829 122112099 151815042 178217658 227722563 244224198 267326487 312064253 366336297 455445126 534652974 624128506 683167689 732672594 936192759 1099008891 1366335378 1872385518 2049503067 2198017782 2808578277 3297026673 4099006134 5617156554 6148509201 6594053346 8425734831 9891080019 12297018402 16851469662 19782160038 25277204493 50554408986 75831613479 151663226958 227494840437 454989680874