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61413862230 = 2345731349399
BaseRepresentation
bin111001001100100011…
…010010101101010110
312212112001000110010000
4321030203102231112
52001233422042410
644114012112130
74302615134010
oct711443225526
9185461013100
1061413862230
1124055584746
12ba9b465646
135a39650466
142d885731b0
1518e6934dc0
hexe4c8d2b56

61413862230 has 160 divisors (see below), whose sum is σ = 194814259200. Its totient is φ = 13584594240.

The previous prime is 61413862217. The next prime is 61413862303. The reversal of 61413862230 is 3226831416.

61413862230 is a `hidden beast` number, since 6 + 1 + 41 + 386 + 2 + 230 = 666.

61413862230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1071 + ... + 350469.

It is an arithmetic number, because the mean of its divisors is an integer number (1217589120).

Almost surely, 261413862230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61413862230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97407129600).

61413862230 is an abundant number, since it is smaller than the sum of its proper divisors (133400396970).

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

61413862230 is a wasteful number, since it uses less digits than its factorization.

61413862230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349456 (or 349447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 6141 and 3862230, that added together give a triangular number (3868371 = T2781).

The spelling of 61413862230 in words is "sixty-one billion, four hundred thirteen million, eight hundred sixty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 630 651 810 837 930 945 1085 1134 1302 1395 1674 1890 1953 2170 2511 2790 2835 3255 3906 4185 5022 5670 5859 6510 8370 9765 11718 12555 17577 19530 25110 29295 35154 58590 87885 175770 349399 698798 1048197 1746995 2096394 2445793 3144591 3493990 4891586 5240985 6289182 7337379 9433773 10481970 10831369 12228965 14674758 15722955 18867546 21662738 22012137 24457930 28301319 31445910 32494107 36686895 44024274 47168865 54156845 56602638 64988214 66036411 73373790 75819583 94337730 97482321 108313690 110060685 132072822 141506595 151639166 162470535 194964642 198109233 220121370 227458749 283013190 292446963 324941070 330182055 379097915 396218466 454917498 487411605 584893926 660364110 682376247 758195830 877340889 974823210 990546165 1137293745 1364752494 1462234815 1754681778 1981092330 2047128741 2274587490 2924469630 3411881235 4094257482 4386704445 6141386223 6823762470 8773408890 10235643705 12282772446 20471287410 30706931115 61413862230