Search a number
-
+
5703545105442 = 2323127146381463
BaseRepresentation
bin101001011111111010111…
…0001111010110000100010
3202012020211212100112120200
41102333311301322300202
51221421330021333232
620044101125450030
71126032110326062
oct122776561726042
922166755315520
105703545105442
1118a9950580368
12781475870916
13324ac3b31122
1415a0a582b3a2
159d567b4577c
hex52ff5c7ac22

5703545105442 has 96 divisors (see below), whose sum is σ = 12831197822976. Its totient is φ = 1829082578400.

The previous prime is 5703545105441. The next prime is 5703545105449. The reversal of 5703545105442 is 2445015453075.

5703545105442 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 54 + 51 + 0 + 544 + 2 = 666.

It is a super-2 number, since 2×57035451054422 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5703545105441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69973203 + ... + 70054665.

It is an arithmetic number, because the mean of its divisors is an integer number (133658310656).

Almost surely, 25703545105442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5703545105442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415598911488).

5703545105442 is an abundant number, since it is smaller than the sum of its proper divisors (7127652717534).

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

5703545105442 is a wasteful number, since it uses less digits than its factorization.

5703545105442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82236 (or 82233 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 5703545105442 in words is "five trillion, seven hundred three billion, five hundred forty-five million, one hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 271 279 463 542 558 813 926 1389 1626 2439 2778 4167 4878 8334 8401 14353 16802 25203 28706 43059 50406 75609 81463 86118 125473 129177 151218 162926 244389 250946 258354 376419 488778 733167 752838 1129257 1466334 2258514 2525353 3889663 5050706 7576059 7779326 11668989 15152118 22076473 22728177 23337978 35006967 37717369 44152946 45456354 66229419 70013934 75434738 113152107 132458838 198688257 226304214 339456321 397376514 678912642 684370663 1169238439 1368741326 2053111989 2338476878 3507715317 4106223978 6159335967 7015430634 10221406999 10523145951 12318671934 20442813998 21046291902 30664220997 61328441994 91992662991 183985325982 316863616969 633727233938 950590850907 1901181701814 2851772552721 5703545105442