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85814372125110 = 23514970942176421
BaseRepresentation
bin10011100000110000110111…
…001010101100100110110110
3102020211202220010210111021210
4103200300313022230212312
542221440313231000420
6502302324530022250
724034612065540066
oct2340606712544666
9366752803714253
1085814372125110
1125385741985742
12975b497717986
1338b6350613695
14172961b3653a6
159dc3670899e0
hex4e0c372ac9b6

85814372125110 has 128 divisors (see below), whose sum is σ = 207710753328000. Its totient is φ = 22689273507840.

The previous prime is 85814372125093. The next prime is 85814372125159. The reversal of 85814372125110 is 1152127341858.

85814372125110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 85814372125110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13364639700 + ... + 13364646120.

It is an arithmetic number, because the mean of its divisors is an integer number (1622740260375).

Almost surely, 285814372125110 is an apocalyptic number.

85814372125110 is an abundant number, since it is smaller than the sum of its proper divisors (121896381202890).

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

85814372125110 is a wasteful number, since it uses less digits than its factorization.

85814372125110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506.

The product of its (nonzero) digits is 537600, while the sum is 48.

Adding to 85814372125110 its reverse (1152127341858), we get a palindrome (86966499466968).

The spelling of 85814372125110 in words is "eighty-five trillion, eight hundred fourteen billion, three hundred seventy-two million, one hundred twenty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 149 298 447 709 745 894 1418 1490 2127 2235 3545 4217 4254 4470 6421 7090 8434 10635 12651 12842 19263 21085 21270 25302 32105 38526 42170 63255 64210 96315 105641 126510 192630 211282 316923 528205 628333 633846 956729 1056410 1256666 1584615 1884999 1913458 2870187 2989853 3141665 3169230 3769998 4552489 4783645 5740374 5979706 6283330 8969559 9104978 9424995 9567290 13657467 14350935 14949265 17939118 18849990 22762445 27077357 27314934 28701870 29898530 44847795 45524890 54154714 68287335 81232071 89695590 135386785 136574670 162464142 270773570 406160355 445488097 678320861 812320710 890976194 1336464291 1356641722 2034962583 2227440485 2672928582 3391604305 4034526193 4069925166 4454880970 6682321455 6783208610 8069052386 10174812915 12103578579 13364642910 19197846113 20172630965 20349625830 24207157158 38395692226 40345261930 57593538339 60517892895 95989230565 115187076678 121035785790 191978461130 287967691695 575935383390 2860479070837 5720958141674 8581437212511 14302395354185 17162874425022 28604790708370 42907186062555 85814372125110