Search a number
-
+
10457054359304 = 2373721312368297
BaseRepresentation
bin1001100000101011100100…
…0000101010111100001000
31101000200111002122101011212
42120022321000222330020
52332312021403444204
634123523210112252
72126332361322260
oct230127100527410
941020432571155
1010457054359304
1133718a2630a83
12120a79241b688
135ab132b92b87
142821a488c7a0
1513202a686c6e
hex982b902af08

10457054359304 has 64 divisors (see below), whose sum is σ = 23024403692160. Its totient is φ = 4358422494720.

The previous prime is 10457054359253. The next prime is 10457054359313. The reversal of 10457054359304 is 40395345075401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231284 + ... + 5599580.

It is an arithmetic number, because the mean of its divisors is an integer number (359756307690).

Almost surely, 210457054359304 is an apocalyptic number.

10457054359304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457054359304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512201846080).

10457054359304 is an abundant number, since it is smaller than the sum of its proper divisors (12567349332856).

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

10457054359304 is a wasteful number, since it uses less digits than its factorization.

10457054359304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370478 (or 2370474 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 50.

The spelling of 10457054359304 in words is "ten trillion, four hundred fifty-seven billion, fifty-four million, three hundred fifty-nine thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 2131 4262 8524 14917 17048 29834 59668 78847 119336 157694 315388 551929 630776 1103858 2207716 2368297 4415432 4736594 9473188 16578079 18946376 33156158 66312316 87626989 132624632 175253978 350507956 613388923 701015912 1226777846 2453555692 4907111384 5046840907 10093681814 20187363628 35327886349 40374727256 70655772698 141311545396 186733113559 282623090792 373466227118 746932454236 1307131794913 1493864908472 2614263589826 5228527179652 10457054359304