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148185069369820 = 225721737240396271
BaseRepresentation
bin100001101100011000000110…
…011010111011100111011100
3201102200100120021022000202221
4201230120012122323213130
5123410331010224313240
61243055140413555124
743133006106013300
oct4154300632734734
9642610507260687
10148185069369820
1143241a3153419a
1214753313aa5aa4
13648ba3b2856c2
1428842a4b23d00
15121e978c15a4a
hex86c6066bb9dc

148185069369820 has 144 divisors (see below), whose sum is σ = 393647933814912. Its totient is φ = 46525332510720.

The previous prime is 148185069369811. The next prime is 148185069369853. The reversal of 148185069369820 is 28963960581841.

148185069369820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 148185069369820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119581716 + ... + 120814555.

It is an arithmetic number, because the mean of its divisors is an integer number (2733666207048).

Almost surely, 2148185069369820 is an apocalyptic number.

148185069369820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148185069369820 is an abundant number, since it is smaller than the sum of its proper divisors (245462864445092).

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

148185069369820 is a wasteful number, since it uses less digits than its factorization.

148185069369820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240396348 (or 240396339 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 70.

The spelling of 148185069369820 in words is "one hundred forty-eight trillion, one hundred eighty-five billion, sixty-nine million, three hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 49 68 70 74 85 98 119 140 148 170 185 196 238 245 259 340 370 476 490 518 595 629 740 833 980 1036 1190 1258 1295 1666 1813 2380 2516 2590 3145 3332 3626 4165 4403 5180 6290 7252 8330 8806 9065 12580 16660 17612 18130 22015 30821 36260 44030 61642 88060 123284 154105 308210 616420 240396271 480792542 961585084 1201981355 1682773897 2403962710 3365547794 4086736607 4807925420 6731095588 8173473214 8413869485 8894662027 11779417279 16346946428 16827738970 17789324054 20433683035 23558834558 28607156249 33655477940 35578648108 40867366070 44473310135 47117669116 57214312498 58897086395 62262634189 81734732140 88946620270 114428624996 117794172790 124525268378 143035781245 151209254459 177893240540 200250093743 235588345580 249050536756 286071562490 302418508918 311313170945 400500187486 435838439323 572143124980 604837017836 622626341890 756046272295 801000374972 871676878646 1001250468715 1058464781213 1245252683780 1512092544590 1743353757292 2002500937430 2116929562426 2179192196615 3024185089180 4005001874860 4233859124852 4358384393230 5292323906065 7409253468491 8716768786460 10584647812130 14818506936982 21169295624260 29637013873964 37046267342455 74092534684910 148185069369820