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30548993843360 = 255612229224069
BaseRepresentation
bin1101111001000101111011…
…11011010010000010100000
311000011110021220110120220202
412330202331323102002200
513001003314410441420
6144550003010324332
76302043355146206
oct674427573220240
9130143256416822
1030548993843360
119808834683193
1235147242896a8
1314079b0a45485
1477881742d076
1537e9b1ca6575
hex1bc8bded20a0

30548993843360 has 144 divisors (see below), whose sum is σ = 73695283061400. Its totient is φ = 11966736936960.

The previous prime is 30548993843311. The next prime is 30548993843437. The reversal of 30548993843360 is 6334839984503.

It can be written as a sum of positive squares in 12 ways, for example, as 3200821559056 + 27348172284304 = 1789084^2 + 5229548^2 .

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136225406 + ... + 136449474.

Almost surely, 230548993843360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30548993843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36847641530700).

30548993843360 is an abundant number, since it is smaller than the sum of its proper divisors (43146289218040).

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

30548993843360 is a wasteful number, since it uses less digits than its factorization.

30548993843360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224435 (or 224366 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 65.

The spelling of 30548993843360 in words is "thirty trillion, five hundred forty-eight billion, nine hundred ninety-three million, eight hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 229 244 305 458 488 610 916 976 1145 1220 1832 1952 2290 2440 3664 3721 4580 4880 7328 7442 9160 9760 13969 14884 18320 18605 27938 29768 36640 37210 55876 59536 69845 74420 111752 119072 139690 148840 223504 224069 279380 297680 447008 448138 558760 595360 852109 896276 1117520 1120345 1704218 1792552 2235040 2240690 3408436 3585104 4260545 4481380 6816872 7170208 8521090 8962760 13633744 13668209 17042180 17925520 27267488 27336418 34084360 35851040 51311801 54672836 68168720 68341045 102623602 109345672 136337440 136682090 205247204 218691344 256559005 273364180 410494408 437382688 513118010 546728360 820988816 833760749 1026236020 1093456720 1641977632 1667521498 2052472040 2186913440 3130019861 3335042996 4104944080 4168803745 6260039722 6670085992 8209888160 8337607490 12520079444 13340171984 15650099305 16675214980 25040158888 26680343968 31300198610 33350429960 50080317776 62600397220 66700859920 100160635552 125200794440 133401719840 190931211521 250401588880 381862423042 500803177760 763724846084 954656057605 1527449692168 1909312115210 3054899384336 3818624230420 6109798768672 7637248460840 15274496921680 30548993843360